On Thu, 13 May 2021 21:44:38 GMT, Richard Startin <github.com+16439049+richardstar...@openjdk.org> wrote:
>> For what it's worth, I benchmarked this implementation radix sort ([adapted >> here to fit in to my >> harness](https://github.com/richardstartin/radix-sort-benchmark/commit/07169e8e8602152cfda859baa159db165bf5fcab#diff-6c13d3fb74f38906677dbfa1a70a123c8e5baf4a39219c81ef121e078d0013bcR681-R710782)) >> against a [signed >> variant](https://github.com/richardstartin/radix-sort-benchmark/commit/07169e8e8602152cfda859baa159db165bf5fcab#diff-6c13d3fb74f38906677dbfa1a70a123c8e5baf4a39219c81ef121e078d0013bcR396-R478) >> of what I have claimed this work was derived from and the proposed >> implementation does not perform favourably on uniformly random data: >> >> >> >> Benchmark (bits) (padding) >> (scenario) (seed) (size) Mode Cnt Score Error Units >> RadixSortBenchmark.jdk 17 7 >> UNIFORM 0 1000000 avgt 5 11301.950 ± 113.691 us/op >> RadixSortBenchmark.jdk 23 7 >> UNIFORM 0 1000000 avgt 5 11792.351 ± 60.757 us/op >> RadixSortBenchmark.jdk 30 7 >> UNIFORM 0 1000000 avgt 5 11184.616 ± 67.094 us/op >> RadixSortBenchmark.unrollOnePassSkipLevelsSigned 17 7 >> UNIFORM 0 1000000 avgt 5 9564.626 ± 69.497 us/op >> RadixSortBenchmark.unrollOnePassSkipLevelsSigned 23 7 >> UNIFORM 0 1000000 avgt 5 9432.085 ± 58.983 us/op >> RadixSortBenchmark.unrollOnePassSkipLevelsSigned 30 7 >> UNIFORM 0 1000000 avgt 5 10772.975 ± 51.848 us/op >> >> >> >> I believe the root cause is a defect in the mechanism employed to skip >> passes as can be seen by the increased number of instructions and cycles >> here. In the proposed implementation, instructions is roughly constant as a >> function of bits. In the case where all passes must be performed (bits = >> 30), IPC is superior in `unrollOnePassHistogramsSkipLevelsSigned`. >> >> >> Benchmark >> (bits) (padding) (scenario) (seed) (size) Mode Cnt Score >> Error Units >> RadixSortBenchmark.jdk:cycles >> 17 7 UNIFORM 0 1000000 avgt 34976971.877 >> #/op >> RadixSortBenchmark.jdk:instructions >> 17 7 UNIFORM 0 1000000 avgt 70121142.003 >> #/op >> RadixSortBenchmark.jdk:cycles >> 23 7 UNIFORM 0 1000000 avgt 32369970.385 >> #/op >> RadixSortBenchmark.jdk:instructions >> 23 7 UNIFORM 0 1000000 avgt 70201664.963 >> #/op >> RadixSortBenchmark.jdk:cycles >> 30 7 UNIFORM 0 1000000 avgt 30789736.602 >> #/op >> RadixSortBenchmark.jdk:instructions >> 30 7 UNIFORM 0 1000000 avgt 70180942.122 >> #/op >> RadixSortBenchmark.jdk:IPC >> 30 7 UNIFORM 0 1000000 avgt 2.279 >> insns/clk >> RadixSortBenchmark.unrollOnePassSkipLevelsSigned:cycles >> 17 7 UNIFORM 0 1000000 avgt 26983994.479 >> #/op >> RadixSortBenchmark.unrollOnePassSkipLevelsSigned:instructions >> 17 7 UNIFORM 0 1000000 avgt 62065304.827 >> #/op >> RadixSortBenchmark.unrollOnePassSkipLevelsSigned:cycles >> 23 7 UNIFORM 0 1000000 avgt 26161703.124 >> #/op >> RadixSortBenchmark.unrollOnePassSkipLevelsSigned:instructions >> 23 7 UNIFORM 0 1000000 avgt 63102683.167 >> #/op >> RadixSortBenchmark.unrollOnePassSkipLevelsSigned:cycles >> 30 7 UNIFORM 0 1000000 avgt 29780103.795 >> #/op >> RadixSortBenchmark.unrollOnePassSkipLevelsSigned:instructions >> 30 7 UNIFORM 0 1000000 avgt 74437097.025 >> #/op >> RadixSortBenchmark.unrollOnePassSkipLevelsSigned:IPC >> 30 7 UNIFORM 0 1000000 avgt 2.500 >> insns/clk >> >> >> >> The biggest difference in executed code appears to be that bounds checks are >> not eliminated in the first counting pass in the proposed implementation: >> >> >> ....[Hottest Region >> 1].............................................................................. >> c2, level 4, io.github.richardstartin.radixsort.RadixSort::jdk, version 402 >> (166 bytes) >> >> 0x00007f0d2fb20579: cmp $0x100,%r10d >> 0x00007f0d2fb20580: jae 0x00007f0d2fb21344 >> 0x00007f0d2fb20586: decl 0x10(%rdx,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@107 (line 697) >> 0x00007f0d2fb2058b: cmp $0x1,%esi >> 0x00007f0d2fb2058e: jle 0x00007f0d2fb2134c >> 0x00007f0d2fb20594: mov $0x1,%r11d >> 0x00007f0d2fb2059a: xor %ecx,%ecx >> 0x00007f0d2fb2059c: nopl 0x0(%rax) ;*aload_2 >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@41 (line 694) >> 0.06% ↗ 0x00007f0d2fb205a0: movzbl 0x10(%rbp,%r11,4),%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@49 (line 694) >> 0.18% │ 0x00007f0d2fb205a6: decl 0x10(%r8,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@54 (line 694) >> 1.37% │ 0x00007f0d2fb205ab: mov 0x10(%rbp,%r11,4),%r10d >> 0.42% │ 0x00007f0d2fb205b0: shr $0x8,%r10d >> 0.34% │ 0x00007f0d2fb205b4: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@66 (line 695) >> 0.50% │ 0x00007f0d2fb205b8: decl 0x10(%r9,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@71 (line 695) >> 1.75% │ 0x00007f0d2fb205bd: mov 0x10(%rbp,%r11,4),%r10d >> 0.42% │ 0x00007f0d2fb205c2: shr $0x10,%r10d >> 0.12% │ 0x00007f0d2fb205c6: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@84 (line 696) >> 0.36% │ 0x00007f0d2fb205ca: decl 0x10(%rbx,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@89 (line 696) >> 1.73% │ 0x00007f0d2fb205cf: mov 0x10(%rbp,%r11,4),%r10d >> 0.26% │ 0x00007f0d2fb205d4: shr $0x18,%r10d >> 0.38% │ 0x00007f0d2fb205d8: xor $0x80,%r10d ;*ixor >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@102 (line 697) >> 0.28% │ 0x00007f0d2fb205df: cmp $0x100,%r10d >> │ 0x00007f0d2fb205e6: jae 0x00007f0d2fb20bab >> 0.38% │ 0x00007f0d2fb205ec: decl 0x10(%rdx,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@107 (line 697) >> 1.25% │ 0x00007f0d2fb205f1: movzbl 0x14(%rbp,%r11,4),%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@49 (line 694) >> 1.63% │ 0x00007f0d2fb205f7: decl 0x10(%r8,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@54 (line 694) >> 1.71% │ 0x00007f0d2fb205fc: mov 0x14(%rbp,%r11,4),%r10d >> 0.16% │ 0x00007f0d2fb20601: shr $0x8,%r10d >> 0.18% │ 0x00007f0d2fb20605: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@66 (line 695) >> 0.36% │ 0x00007f0d2fb20609: decl 0x10(%r9,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@71 (line 695) >> 2.05% │ 0x00007f0d2fb2060e: mov 0x14(%rbp,%r11,4),%r10d >> 0.14% │ 0x00007f0d2fb20613: shr $0x10,%r10d >> 0.38% │ 0x00007f0d2fb20617: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@84 (line 696) >> 0.14% │ 0x00007f0d2fb2061b: decl 0x10(%rbx,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@89 (line 696) >> 1.51% │ 0x00007f0d2fb20620: mov 0x14(%rbp,%r11,4),%r10d >> 0.14% │ 0x00007f0d2fb20625: shr $0x18,%r10d >> 0.32% │ 0x00007f0d2fb20629: xor $0x80,%r10d ;*ixor >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@102 (line 697) >> 0.12% │ 0x00007f0d2fb20630: cmp $0x100,%r10d >> │ 0x00007f0d2fb20637: jae 0x00007f0d2fb20ba8 >> 0.78% │ 0x00007f0d2fb2063d: decl 0x10(%rdx,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@107 (line 697) >> 1.04% │ 0x00007f0d2fb20642: add $0x2,%r11d ;*iinc >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@108 (line 693) >> 0.64% │ 0x00007f0d2fb20646: cmp %esi,%r11d >> ╰ 0x00007f0d2fb20649: jl 0x00007f0d2fb205a0 ;*if_icmpge >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@38 (line 693) >> 0x00007f0d2fb2064f: cmp %r13d,%r11d >> 0x00007f0d2fb20652: jge 0x00007f0d2fb206ad ;*aload_2 >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@41 (line 694) >> 0x00007f0d2fb20654: movzbl 0x10(%rbp,%r11,4),%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@49 (line 694) >> 0x00007f0d2fb2065a: decl 0x10(%r8,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::jdk@54 (line 694) >> .................................................................................................... >> 21.11% <total for region 1> >> >> >> >> Whereas they have been eliminated in the first pass of >> `unrollOnePassHistogramsSkipLevelsSigned`: >> >> >> ....[Hottest Region >> 1].............................................................................. >> c2, level 4, >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned, >> version 402 (544 bytes) >> >> 0x00007f123035bb6c: incl 0x14(%rbp,%rcx,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@106 >> (line 405) >> 0x00007f123035bb70: incl 0x14(%r9,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@123 >> (line 406) >> 0x00007f123035bb75: cmp $0x1,%esi >> 0x00007f123035bb78: jle 0x00007f123035cc28 >> 0x00007f123035bb7e: mov $0x1,%edi >> 0x00007f123035bb83: mov $0x1,%ebx >> 0x00007f123035bb88: nopl 0x0(%rax,%rax,1) ;*aload >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@43 >> (line 402) >> 0.12% ↗ 0x00007f123035bb90: mov $0x80000000,%r10d >> 0.06% │ 0x00007f123035bb96: add 0x10(%rdx,%rdi,4),%r10d ;*isub >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::signed@3 (line 476) >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@53 >> (line 403) >> 0.04% │ 0x00007f123035bb9b: mov %r10d,%r8d >> 0.10% │ 0x00007f123035bb9e: shr $0x18,%r8d ;*iushr >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@116 >> (line 406) >> 0.12% │ 0x00007f123035bba2: mov %r10d,%r11d >> 0.08% │ 0x00007f123035bba5: shr $0x10,%r11d >> 0.08% │ 0x00007f123035bba9: movzbl %r11b,%r11d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@99 >> (line 405) >> 0.08% │ 0x00007f123035bbad: mov %r10d,%ecx >> 0.04% │ 0x00007f123035bbb0: shr $0x8,%ecx >> 0.08% │ 0x00007f123035bbb3: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@59 >> (line 403) >> 0.14% │ 0x00007f123035bbb7: mov 0x18(%rsp),%r14 >> 0.16% │ 0x00007f123035bbbc: incl 0x14(%r14,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@66 >> (line 403) >> 0.36% │ 0x00007f123035bbc1: movzbl %cl,%ecx ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@79 >> (line 404) >> 0.06% │ 0x00007f123035bbc4: mov 0x10(%rsp),%r10 >> 0.10% │ 0x00007f123035bbc9: incl 0x14(%r10,%rcx,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@86 >> (line 404) >> 0.26% │ 0x00007f123035bbce: incl 0x14(%rbp,%r11,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@106 >> (line 405) >> 0.28% │ 0x00007f123035bbd3: incl 0x14(%r9,%r8,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@123 >> (line 406) >> 0.20% │ 0x00007f123035bbd8: mov $0x80000000,%r10d >> 0.10% │ 0x00007f123035bbde: add 0x14(%rdx,%rdi,4),%r10d ;*isub >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::signed@3 (line 476) >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@53 >> (line 403) >> 0.08% │ 0x00007f123035bbe3: mov %r10d,%r8d >> 0.12% │ 0x00007f123035bbe6: shr $0x18,%r8d ;*iushr >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@116 >> (line 406) >> 0.04% │ 0x00007f123035bbea: mov %r10d,%r11d >> 0.06% │ 0x00007f123035bbed: shr $0x10,%r11d >> 0.06% │ 0x00007f123035bbf1: movzbl %r11b,%r11d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@99 >> (line 405) >> 0.14% │ 0x00007f123035bbf5: mov %r10d,%ecx >> 0.04% │ 0x00007f123035bbf8: shr $0x8,%ecx >> 0.04% │ 0x00007f123035bbfb: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@59 >> (line 403) >> 0.08% │ 0x00007f123035bbff: incl 0x14(%r14,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@66 >> (line 403) >> 0.46% │ 0x00007f123035bc04: movzbl %cl,%ecx ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@79 >> (line 404) >> 0.10% │ 0x00007f123035bc07: mov 0x10(%rsp),%r10 >> 0.08% │ 0x00007f123035bc0c: incl 0x14(%r10,%rcx,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@86 >> (line 404) >> 0.22% │ 0x00007f123035bc11: incl 0x14(%rbp,%r11,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@106 >> (line 405) >> 0.30% │ 0x00007f123035bc16: incl 0x14(%r9,%r8,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@123 >> (line 406) >> 0.22% │ 0x00007f123035bc1b: mov $0x80000000,%r10d >> 0.04% │ 0x00007f123035bc21: add 0x18(%rdx,%rdi,4),%r10d ;*isub >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::signed@3 (line 476) >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@53 >> (line 403) >> 0.20% │ 0x00007f123035bc26: mov %r10d,%r8d >> 0.18% │ 0x00007f123035bc29: shr $0x18,%r8d ;*iushr >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@116 >> (line 406) >> 0.12% │ 0x00007f123035bc2d: mov %r10d,%r11d >> 0.06% │ 0x00007f123035bc30: shr $0x10,%r11d >> 0.20% │ 0x00007f123035bc34: movzbl %r11b,%r11d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@99 >> (line 405) >> 0.10% │ 0x00007f123035bc38: mov %r10d,%ecx >> 0.12% │ 0x00007f123035bc3b: shr $0x8,%ecx >> 0.20% │ 0x00007f123035bc3e: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@59 >> (line 403) >> 0.08% │ 0x00007f123035bc42: incl 0x14(%r14,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@66 >> (line 403) >> 0.18% │ 0x00007f123035bc47: movzbl %cl,%ecx ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@79 >> (line 404) >> 0.08% │ 0x00007f123035bc4a: mov 0x10(%rsp),%r10 >> 0.10% │ 0x00007f123035bc4f: incl 0x14(%r10,%rcx,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@86 >> (line 404) >> 0.20% │ 0x00007f123035bc54: incl 0x14(%rbp,%r11,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@106 >> (line 405) >> 0.12% │ 0x00007f123035bc59: incl 0x14(%r9,%r8,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@123 >> (line 406) >> 0.34% │ 0x00007f123035bc5e: mov $0x80000000,%r10d >> 0.04% │ 0x00007f123035bc64: add 0x1c(%rdx,%rdi,4),%r10d ;*isub >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::signed@3 (line 476) >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@53 >> (line 403) >> 0.91% │ 0x00007f123035bc69: mov %r10d,%r8d >> 0.02% │ 0x00007f123035bc6c: shr $0x18,%r8d ;*iushr >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@116 >> (line 406) >> 0.12% │ 0x00007f123035bc70: mov %r10d,%r11d >> 0.06% │ 0x00007f123035bc73: shr $0x10,%r11d >> 0.06% │ 0x00007f123035bc77: movzbl %r11b,%r11d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@99 >> (line 405) >> 0.06% │ 0x00007f123035bc7b: mov %r10d,%ecx >> │ 0x00007f123035bc7e: shr $0x8,%ecx >> 0.10% │ 0x00007f123035bc81: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@59 >> (line 403) >> 0.08% │ 0x00007f123035bc85: incl 0x14(%r14,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@66 >> (line 403) >> 0.16% │ 0x00007f123035bc8a: movzbl %cl,%ecx ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@79 >> (line 404) >> │ 0x00007f123035bc8d: mov 0x10(%rsp),%r10 >> 0.14% │ 0x00007f123035bc92: incl 0x14(%r10,%rcx,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@86 >> (line 404) >> 0.32% │ 0x00007f123035bc97: incl 0x14(%rbp,%r11,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@106 >> (line 405) >> 0.32% │ 0x00007f123035bc9c: incl 0x14(%r9,%r8,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@123 >> (line 406) >> 0.24% │ 0x00007f123035bca1: mov $0x80000000,%r10d >> 0.12% │ 0x00007f123035bca7: add 0x20(%rdx,%rdi,4),%r10d ;*isub >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::signed@3 (line 476) >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@53 >> (line 403) >> 0.08% │ 0x00007f123035bcac: mov %r10d,%r8d >> 0.08% │ 0x00007f123035bcaf: shr $0x18,%r8d ;*iushr >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@116 >> (line 406) >> 0.06% │ 0x00007f123035bcb3: mov %r10d,%r11d >> 0.08% │ 0x00007f123035bcb6: shr $0x10,%r11d >> 0.10% │ 0x00007f123035bcba: movzbl %r11b,%r11d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@99 >> (line 405) >> 0.14% │ 0x00007f123035bcbe: mov %r10d,%ecx >> 0.14% │ 0x00007f123035bcc1: shr $0x8,%ecx >> 0.14% │ 0x00007f123035bcc4: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@59 >> (line 403) >> 0.08% │ 0x00007f123035bcc8: incl 0x14(%r14,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@66 >> (line 403) >> 0.22% │ 0x00007f123035bccd: movzbl %cl,%ecx ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@79 >> (line 404) >> 0.10% │ 0x00007f123035bcd0: mov 0x10(%rsp),%r10 >> 0.14% │ 0x00007f123035bcd5: incl 0x14(%r10,%rcx,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@86 >> (line 404) >> 0.24% │ 0x00007f123035bcda: incl 0x14(%rbp,%r11,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@106 >> (line 405) >> 0.20% │ 0x00007f123035bcdf: incl 0x14(%r9,%r8,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@123 >> (line 406) >> 0.18% │ 0x00007f123035bce4: mov $0x80000000,%r10d >> 0.04% │ 0x00007f123035bcea: add 0x24(%rdx,%rdi,4),%r10d ;*isub >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::signed@3 (line 476) >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@53 >> (line 403) >> 0.12% │ 0x00007f123035bcef: mov %r10d,%r8d >> 0.04% │ 0x00007f123035bcf2: shr $0x18,%r8d ;*iushr >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@116 >> (line 406) >> 0.08% │ 0x00007f123035bcf6: mov %r10d,%r11d >> 0.16% │ 0x00007f123035bcf9: shr $0x10,%r11d >> 0.06% │ 0x00007f123035bcfd: movzbl %r11b,%r11d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@99 >> (line 405) >> 0.06% │ 0x00007f123035bd01: mov %r10d,%ecx >> 0.04% │ 0x00007f123035bd04: shr $0x8,%ecx >> 0.02% │ 0x00007f123035bd07: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@59 >> (line 403) >> 0.12% │ 0x00007f123035bd0b: incl 0x14(%r14,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@66 >> (line 403) >> 0.22% │ 0x00007f123035bd10: movzbl %cl,%ecx ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@79 >> (line 404) >> 0.06% │ 0x00007f123035bd13: mov 0x10(%rsp),%r10 >> 0.04% │ 0x00007f123035bd18: incl 0x14(%r10,%rcx,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@86 >> (line 404) >> 0.20% │ 0x00007f123035bd1d: incl 0x14(%rbp,%r11,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@106 >> (line 405) >> 0.28% │ 0x00007f123035bd22: incl 0x14(%r9,%r8,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@123 >> (line 406) >> 0.46% │ 0x00007f123035bd27: mov $0x80000000,%r10d >> 0.08% │ 0x00007f123035bd2d: add 0x28(%rdx,%rdi,4),%r10d ;*isub >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::signed@3 (line 476) >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@53 >> (line 403) >> 0.08% │ 0x00007f123035bd32: mov %r10d,%r8d >> 0.04% │ 0x00007f123035bd35: shr $0x18,%r8d ;*iushr >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@116 >> (line 406) >> 0.10% │ 0x00007f123035bd39: mov %r10d,%r11d >> 0.04% │ 0x00007f123035bd3c: shr $0x10,%r11d >> 0.06% │ 0x00007f123035bd40: movzbl %r11b,%r11d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@99 >> (line 405) >> 0.04% │ 0x00007f123035bd44: mov %r10d,%ecx >> 0.10% │ 0x00007f123035bd47: shr $0x8,%ecx >> 0.10% │ 0x00007f123035bd4a: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@59 >> (line 403) >> 0.10% │ 0x00007f123035bd4e: incl 0x14(%r14,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@66 >> (line 403) >> 0.28% │ 0x00007f123035bd53: movzbl %cl,%ecx ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@79 >> (line 404) >> 0.14% │ 0x00007f123035bd56: mov 0x10(%rsp),%r10 >> 0.10% │ 0x00007f123035bd5b: incl 0x14(%r10,%rcx,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@86 >> (line 404) >> 0.36% │ 0x00007f123035bd60: incl 0x14(%rbp,%r11,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@106 >> (line 405) >> 0.20% │ 0x00007f123035bd65: incl 0x14(%r9,%r8,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@123 >> (line 406) >> 0.28% │ 0x00007f123035bd6a: mov $0x80000000,%r10d >> 0.16% │ 0x00007f123035bd70: add 0x2c(%rdx,%rdi,4),%r10d ;*isub >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::signed@3 (line 476) >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@53 >> (line 403) >> 0.08% │ 0x00007f123035bd75: mov %r10d,%r8d >> 0.10% │ 0x00007f123035bd78: shr $0x18,%r8d ;*iushr >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@116 >> (line 406) >> 0.08% │ 0x00007f123035bd7c: mov %r10d,%r11d >> 0.08% │ 0x00007f123035bd7f: shr $0x10,%r11d >> 0.14% │ 0x00007f123035bd83: movzbl %r11b,%r11d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@99 >> (line 405) >> 0.02% │ 0x00007f123035bd87: mov %r10d,%ecx >> 0.02% │ 0x00007f123035bd8a: shr $0x8,%ecx >> 0.20% │ 0x00007f123035bd8d: movzbl %r10b,%r10d ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@59 >> (line 403) >> 0.22% │ 0x00007f123035bd91: incl 0x14(%r14,%r10,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@66 >> (line 403) >> 0.22% │ 0x00007f123035bd96: movzbl %cl,%ecx ;*iand >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@79 >> (line 404) >> 0.12% │ 0x00007f123035bd99: mov 0x10(%rsp),%r10 >> 0.04% │ 0x00007f123035bd9e: incl 0x14(%r10,%rcx,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@86 >> (line 404) >> 0.22% │ 0x00007f123035bda3: incl 0x14(%rbp,%r11,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@106 >> (line 405) >> 0.20% │ 0x00007f123035bda8: incl 0x14(%r9,%r8,4) ;*iastore >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@123 >> (line 406) >> 0.26% │ 0x00007f123035bdad: add $0x8,%edi ;*iinc >> {reexecute=0 rethrow=0 return_oop=0} >> │ ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@124 >> (line 402) >> 0.10% │ 0x00007f123035bdb0: cmp %esi,%edi >> ╰ 0x00007f123035bdb2: jl 0x00007f123035bb90 ;*if_icmpge >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@40 >> (line 402) >> 0x00007f123035bdb8: cmp %eax,%edi >> 0x00007f123035bdba: jge 0x00007f123035be09 ;*aload >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@43 >> (line 402) >> 0x00007f123035bdbc: mov $0x80000000,%esi >> 0x00007f123035bdc1: add 0x10(%rdx,%rdi,4),%esi ;*isub >> {reexecute=0 rethrow=0 return_oop=0} >> ; - >> io.github.richardstartin.radixsort.RadixSort::signed@3 (line 476) >> ; - >> io.github.richardstartin.radixsort.RadixSort::unrollOnePassHistogramsSkipLevelsSigned@53 >> (line 403) >> .................................................................................................... >> 18.02% <total for region 1> >> >> >> >> So, I think there may be some room for improvement in this submission. >> Benchmarking is hard, and it's possible I have made a mistake or have >> misinterpreted the results, but I think such a big difference warrants >> investigation before pushing this change to so many users. I ran these >> benchmarks on JDK 11.0.11. I have run a range of randomised tests to verify >> that the two implementations produce the same results. > > So the issue of not skipping passes was my fault in the translation process, > so not something to worry about, though after [fixing > that](https://github.com/richardstartin/radix-sort-benchmark/commit/ccbee984c6a0e0f50c30de59e1a5e9fbcad89510) > the original implementation still has the edge because of the bounds checks > on the `xor` not getting eliminated. > > > Benchmark (bits) (padding) > (scenario) (seed) (size) Mode Cnt Score Error Units > RadixSortBenchmark.jdk 17 7 > UNIFORM 0 1000000 avgt 5 10432.408 ± 87.024 us/op > RadixSortBenchmark.jdk 23 7 > UNIFORM 0 1000000 avgt 5 9465.990 ± 40.598 us/op > RadixSortBenchmark.jdk 30 7 > UNIFORM 0 1000000 avgt 5 11189.146 ± 50.972 us/op > RadixSortBenchmark.unrollOnePassSkipLevelsSigned 17 7 > UNIFORM 0 1000000 avgt 5 9546.963 ± 41.698 us/op > RadixSortBenchmark.unrollOnePassSkipLevelsSigned 23 7 > UNIFORM 0 1000000 avgt 5 9412.114 ± 43.081 us/op > RadixSortBenchmark.unrollOnePassSkipLevelsSigned 30 7 > UNIFORM 0 1000000 avgt 5 10823.618 ± 64.311 us/op Great analysis on C2, richard. maybe (x ^ 0x80) &0xFF would help C2 to eliminate bound checks... ------------- PR: https://git.openjdk.java.net/jdk/pull/3938