Sure, it's interesting to compare.
On my 64 bit machine (Selmer):
K10-2:
Squaring: MPIR 1.3.0 GMP 5.0.0
======= ======== ========
128 x 128 : 56715728 55997671
512 x 512 : 11350749 13487276
8192 x 8192 : 149696 151687
131072 x 131072 : 2512 2640
2097152 x 2097152 : 94.2 81.6
Multiplication:
==========
128 x 128 : 57689204 56006766
512 x 512 : 11350738 10179077
8192 x 8192 : 104945 101532
131072 x 131072 : 1856 1848
2097152 x 2097152 : 65.7 54.8
Unbalanced:
==========
15000 x 10000 : 51197 51819
20000 x 10000 : 40086 38484
30000 x 10000 : 23539 24674
16777216 x 512 : 392 456
16777216 x 262144 : 10.7 12.9
Division :
=========
8192 / 32 : 1420564 1318523
8192 / 64 : 1155167 1334473
8192 / 128 : 624077 805567
8192 / 4096 : 171758 249209
8192 / 8064 : 7084081 8455199
131072 / 65536 : 1992 2588
8388608 / 4194304 : 5.86 11.5
16777216 / 262144 : 4.03 6.94
GCD :
====
128 x 128 : 1820216 1971827
512 x 512 : 168623 221378
8192 x 8192 : 5560 6321
131072 x 131072 : 115 121
1048576 x 1048576 : 5.93 6.27
XGCD :
=====
128 x 128 : 682582 884318
512 x 512 : 122152 154781
8192 x 8192 : 3826 4339
131072 x 131072 : 73.3 76.1
1048576 x 1048576 : 3.89 4.22
Root:
====
128 x 5 : 996836 557837
512 x 3 : 358609 446327
8192 x 11 : 93080 141224
131072 x 3 : 1016 3441
1048576 x 3 : 55.8 166
Fac_ui:
=====
128 : 1385073 1467919
1512 : 46727 46355
10000 : 1046 1046
1000010 : 3.51 2.23
2123456 : 1.27 0.796
RSA :
====
512 : 20478 21112
1024 : 4488 4065
2048 : 762 736
Pi :
===
10000 : 398 389
100000 : 23.0 23.2
1000000 : 1.36 1.32
BPSW:
=====
1024 : 935 1483
4096 : 26.2 31.2
16384 : 0.714 0.871
Wagstaff:
======
1024 : 2307 2706
4096 : 89.6 96.0
16384 : 2.86 2.96
Mersenne:
=======
3217 : 138 43.6
4253 : 67.6 21.8
4423 : 59.7 20.1
9689 : 8.27 2.67
11213 : 5.77 1.85
Fermat:
=====
8 : 87725 6791
10 : 3241 635
12 : 80.3 25.0
Overall:
=======
1364 1186
So a mixed bag really. I'm less impressed with the unbalanced
multiplication than I was 10 minutes ago. :-(
Clearly their division code has improved and our cube root code still
sucks and our gcd and xgcd still needs optimising (that one file I
keep carrying on about). Nothing else is jumping out at me.
Bill.
2010/1/10 Gianrico Fini <gianrico.f...@gmail.com>:
> Sorry, I don't have a 64-bit processor... I'm working on somehow old
> hardware, usually.
>
> Anyway I think there is also another problem in my measure, I did not
> "tune".
> I was trying an update of the compiler to gcc-4.4...
> Then I'll recompile the three libraries, retune them, recompile again,
> and test.
> If you are interested, I'll send the new result here again.
>
> On 10 Gen, 17:09, Bill Hart <goodwillh...@googlemail.com> wrote:
>> Thanks very much for taking the time to run those!!
>>
>> We suffer a little here because of suboptimal assembly code we provide
>> for your (32 bit?) Pentium M processor, as can be seen from the
>> multiply scores for small sizes (which are dominated by the assembly
>> performance).
>>
>> MPIR 1.3:
>>
>> 8192 0 => 8864
>>
>> GMP 5.0:
>>
>> 8192 0 => 11419
>>
>> Even if we adjust for that, however, the GMP unbalanced multiply
>> scores are still exceptional:
>>
>> MPIR 1.3:
>>
>> 15000 0 => 4503
>> 20000 0 => 3481
>> 30000 0 => 2069
>>
>> GMP 5.0:
>>
>> 15000 0 => 5482 (4254 adj.)
>> 20000 0 => 4619 (3584 adj.)
>> 30000 0 => 2929 (2272 adj.)
>>
>> Assuming my adjustment for the assembly bias is valid (questionable),
>> it is clear they are getting up to 10% improvement over us with their
>> higher unbalanced Toom functions. Pretty good work on their part!!
>>
>> I'd be curious to compare on a 64 bit machine where there should be
>> little to no assembly bias. It looks to me that perhaps we still come
>> out around the same on the pi test.
>>
>> Bill.
>>
>> 2010/1/10 Gianrico Fini <gianrico.f...@gmail.com>:
>>
>> > I tried, on my laptop. I couldn't work with their own test, so I used the
>> > one I've found on MPIR main page. I paste here the result (I'm running
>> > Gentoo, gcc-4.3.4).
>>
>> > --GMP-4.3.2--
>> > $ mpir_bench_two/bench_two_gmp
>>
>> > Running MPIR benchmark
>> > GenuineIntel Family 6 Model 9 Stepping 5
>> > Intel(R) Pentium(R) M processor 1400MHz
>> > Speed: 1.40 GHz (reported)
>> > Category base
>> > Program multiply (weight 1.00)
>> > 128 0 => 7873205
>> > 512 0 => 1412472
>> > 8192 0 => 15535
>> > 131072 0 => 252
>> > 2097152 0 => 10.9
>> > 128 0 => 7014812
>> > 512 0 => 895116
>> > 8192 0 => 10290
>> > 131072 0 => 170
>> > 2097152 0 => 7.41
>> > 15000 0 => 4916
>> > 20000 0 => 3796
>> > 30000 0 => 2333
>> > 16777216 0 => 27.4
>> > 16777216 0 => 1.37 => 3313, 2366
>> > Program divide (weight 1.00)
>> > 8192 0 => 208271
>> > 8192 0 => 163357
>> > 8192 0 => 46225
>> > 8192 0 => 13306
>> > 131072 0 => 195
>> > 8388608 0 => 0.636
>> > 8192 0 => 219948
>> > 16777216 0 => 0.375 => 1955, 1397
>> > Program gcd (weight 0.50)
>> > 128 0 => 379235
>> > 512 0 => 63447
>> > 8192 0 => 1155
>> > 131072 0 => 13.0
>> > 1048576 0 => 0.667 => 752, 537
>> > Program gcdext (weight 0.50)
>> > 128 0 => 266774
>> > 512 0 => 39311
>> > 8192 0 => 576
>> > 131072 0 => 7.67
>> > 1048576 0 => 0.429 => 457, 326
>> > Program root (weight 0.30)
>> > 128 0 => 254520
>> > 512 0 => 174983
>> > 8192 0 => 23189
>> > 131072 0 => 285
>> > 1048576 0 => 15.1 => 5365, 3832
>> > Program fac_ui (weight 0.20)
>> > 128 0 => 392143
>> > 1512 0 => 5420
>> > 15000 0 => 100
>> > 1000010 0 => 0.272
>> > 2123456 0 => 0.0989 => 89.4, 63.9 => 1473, 1052
>> > Category app
>> > Program rsa (weight 1.00)
>> > 512 => 2318
>> > 1024 => 397
>> > 2048 => 60.0 => 381, 272
>> > Program pi (weight 1.00)
>> > 10000 => 89.4
>> > 100000 => 3.69
>> > 1000000 => 0.202 => 4.05, 2.90
>> > Program bpsw (weight 1.00)
>> > 1024 => 68.1
>> > 4096 => 2.12
>> > 16384 => 0.0661 => 2.12, 1.52
>> > Program wagstaff (weight 1.00)
>> > 1024 => 316
>> > 4096 => 10.2
>> > 16384 => 0.323 => 10.1, 7.23
>> > Program mersenne (weight 1.00)
>> > 3217 => 4.17
>> > 4253 => 2.11
>> > 4423 => 1.78
>> > 9689 => 0.255
>> > 11213 => 0.175 => 0.931,0.665
>> > Program fermat (weight 1.00)
>> > 8 => 1601
>> > 10 => 81.0
>> > 12 => 2.37 => 67.5, 48.2 => 11.3, 8.07 => 129,
>> > 92.1
>>
>> > --MPIR-1.3.0-rc4--
>> > $ mpir_bench_two/bench_two
>>
>> > Running MPIR benchmark
>> > GenuineIntel Family 6 Model 9 Stepping 5
>> > Intel(R) Pentium(R) M processor 1400MHz
>> > Speed: 1.40 GHz (reported)
>> > Category base
>> > Program multiply (weight 1.00)
>> > 128 0 => 7402673
>> > 512 0 => 813577
>> > 8192 0 => 11969
>> > 131072 0 => 271
>> > 2097152 0 => 11.0
>> > 128 0 => 7427459
>> > 512 0 => 813884
>> > 8192 0 => 8864
>> > 131072 0 => 191
>> > 2097152 0 => 7.55
>> > 15000 0 => 4503
>> > 20000 0 => 3481
>> > 30000 0 => 2069
>> > 16777216 0 => 23.6
>> > 16777216 0 => 1.40 => 3043, 2173
>> > Program divide (weight 1.00)
>> > 8192 0 => 214651
>> > 8192 0 => 79404
>> > 8192 0 => 44364
>> > 8192 0 => 14293
>> > 131072 0 => 179
>> > 8388608 0 => 0.649
>> > 8192 0 => 1107431
>> > 16777216 0 => 0.384 => 2193, 1566
>> > Program gcd (weight 0.50)
>> > 128 0 => 339023
>> > 512 0 => 48682
>> > 8192 0 => 1090
>> > 131072 0 => 12.7
>> > 1048576 0 => 0.659 => 685, 490
>> > Program gcdext (weight 0.50)
>> > 128 0 => 224195
>> > 512 0 => 36002
>> > 8192 0 => 504
>> > 131072 0 => 7.45
>> > 1048576 0 => 0.417 => 417, 298
>> > Program root (weight 0.30)
>> > 128 0 => 323429
>> > 512 0 => 132419
>> > 8192 0 => 10362
>> > 131072 0 => 93.8
>> > 1048576 0 => 6.52 => 3067, 2191
>> > Program fac_ui (weight 0.20)
>> > 128 0 => 333278
>> > 1512 0 => 4691
>> > 15000 0 => 115
>> > 1000010 0 => 0.471
>> > 2123456 0 => 0.175 => 108, 77.2 => 1394, 996
>> > Category app
>> > Program rsa (weight 1.00)
>> > 512 => 1878
>> > 1024 => 334
>> > 2048 => 50.3 => 316, 226
>> > Program pi (weight 1.00)
>> > 10000 => 82.5
>> > 100000 => 3.79
>> > 1000000 => 0.210 => 4.03, 2.88
>> > Program bpsw (weight 1.00)
>> > 1024 => 84.1
>> > 4096 => 2.04
>> > 16384 => 0.0586 => 2.16, 1.54
>> > Program wagstaff (weight 1.00)
>> > 1024 => 242
>> > 4096 => 7.60
>> > 16384 => 0.247 => 7.69, 5.49
>> > Program mersenne (weight 1.00)
>> > 3217 => 10.7
>> > 4253 => 5.29
>> > 4423 => 4.90
>> > 9689 => 0.668
>> > 11213 => 0.456 => 2.43, 1.74
>> > Program fermat (weight 1.00)
>> > 8 => 9241
>> > 10 => 230
>>
>> ...
>>
>> leggi tutto
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