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From: Mark Zhang <markz@mellanox.com>
To: Jason Gunthorpe <jgg@ziepe.ca>, Tom Talpey <tom@talpey.com>
Cc: Alex Rosenbaum <rosenbaumalex@gmail.com>,
	RDMA mailing list <linux-rdma@vger.kernel.org>,
	Eran Ben Elisha <eranbe@mellanox.com>,
	Yishai Hadas <yishaih@mellanox.com>,
	"Alex @ Mellanox" <alexr@mellanox.com>,
	Maor Gottlieb <maorg@mellanox.com>,
	Leon Romanovsky <leonro@mellanox.com>
Subject: Re: [RFC v2] RoCE v2.0 Entropy - IPv6 Flow Label and UDP Source Port
Date: Fri, 14 Feb 2020 22:23:43 +0800
Message-ID: <3be3b3ff-a901-b716-827a-6b1019fa1924@mellanox.com> (raw)
In-Reply-To: <20200213154110.GJ31668@ziepe.ca>

On 2/13/2020 11:41 PM, Jason Gunthorpe wrote:
> On Thu, Feb 13, 2020 at 10:26:09AM -0500, Tom Talpey wrote:
> 
>>> If both src & dst ports are in the high value range you loss those
>>> hash bits in the masking.
>>> If src & dst port are both 0xE000, your masked hash equals 0. You'll
>>> get the same hash if both ports are equal 0xF000.
>>
>> Sure, but this is because it's a 20-bit hash of a 32-bit object. There
>> will always be collisions, this is just one example. My concern is the
>> statistical spread of the results. I argue it's not changed by the
>> proposed bit-folding, possibly even damaged.
> 
> I've always thought that 'folding' by modulo results in an abnormal
> statistical distribution
> 
> The point here is not collisions but to have a hash distribution which
> is generally uniform for the input space.
> 
> Alex, it would be good to make a quick program to measure the
> uniformity of the distribution..
> 

Hi,

I did some tests with a quick program (hope it's not buggy...), seems 
the hash without "folding" has a better distribution than hash with 
fold. The "hash quality" is reflected by the "total_access"[1] below.

I tested only with cma_dport from 18515 (ib_write_bw default) to 18524. 
I can do more tests if required, for example use multiple cma_dport in 
one statistic.


[1] 
https://stackoverflow.com/questions/24729730/measuring-a-hash-functions-quality-for-use-with-maps-assosiative-arrays

$ ./a

max: Say for slot x there are tb[x] items, then 'max = max(tb[x])'; 
Lower is better;
min: Say for slot x there are tb[x] items, then 'min = min(tb[x])'; 
Likely min is always 0
total_access: The sum of all 'accesses' (for each slot: 
accesses=n*(n+1)/2); Lower is better
n[X]: How many slots that has X items

cm source port range [32768, 65534], dest port 18515:
Hash with folding:
     flow_label: max 2 min 0 total_access 32766  n[1] = 32514 n[2] = 126
     udp_sport: max 10 min 0 total_access 51740  n[1] = 4420  n[2] = 
4670  n[3] = 3112  n[4] = 1433  n[5] = 535   n[6] = 163   n[7] = 31 
n[8] = 5     n[9] = 2     n[10] = 1
Hash without folding:
     flow_label: max 1 min 0 total_access 32766  n[1] = 32766
     udp_sport: max 4 min 0 total_access 48618   n[1] = 532   n[2] = 
7926  n[3] = 530   n[4] = 3698


cm source port range [32768, 65534], dest port 18516:
Hash with folding:
     flow_label: max 3 min 0 total_access 32774  n[1] = 31214 n[2] = 770 
   n[3] = 4
     udp_sport: max 8 min 0 total_access 50808   n[1] = 4406  n[2] = 
4873  n[3] = 3157  n[4] = 1413  n[5] = 509   n[6] = 129   n[7] = 20 
n[8] = 4
Hash without folding:
     flow_label: max 1 min 0 total_access 32766  n[1] = 32766
     udp_sport: max 2 min 1 total_access 32766   n[1] = 2     n[2] = 16382


cm source port range [32768, 65534], dest port 18517:
Hash with folding:
     flow_label: max 2 min 0 total_access 32766  n[1] = 32250 n[2] = 258
     udp_sport: max 10 min 0 total_access 54916  n[1] = 4536  n[2] = 
4170  n[3] = 2817  n[4] = 1445  n[5] = 622   n[6] = 275   n[7] = 94 
n[8] = 22    n[9] = 5     n[10] = 2
Hash without folding:
     flow_label: max 1 min 0 total_access 32766  n[1] = 32766
     udp_sport: max 3 min 1 total_access 38402   n[1] = 2820  n[2] = 
10746 n[3] = 2818


cm source port range [32768, 65534], dest port 18518:
Hash with folding:
     flow_label: max 2 min 0 total_access 32766  n[1] = 32066 n[2] = 350
     udp_sport: max 8 min 0 total_access 50018   n[1] = 4435  n[2] = 
4970  n[3] = 3294  n[4] = 1376  n[5] = 465   n[6] = 92    n[7] = 16 
n[8] = 2
Hash without folding:
     flow_label: max 1 min 0 total_access 32766  n[1] = 32766
     udp_sport: max 2 min 1 total_access 32766   n[1] = 2     n[2] = 16382


cm source port range [32768, 65534], dest port 18519:
Hash with folding:
     flow_label: max 3 min 0 total_access 32774  n[1] = 31816 n[2] = 469 
   n[3] = 4
     udp_sport: max 8 min 0 total_access 51462   n[1] = 4414  n[2] = 
4734  n[3] = 3088  n[4] = 1466  n[5] = 508   n[6] = 160   n[7] = 32 
n[8] = 4
Hash without folding:
     flow_label: max 1 min 0 total_access 32766  n[1] = 32766
     udp_sport: max 4 min 0 total_access 45490   n[1] = 3662  n[2] = 
6360  n[3] = 3660  n[4] = 1351


cm source port range [32768, 65534], dest port 18520:
Hash with folding:
     flow_label: max 6 min 0 total_access 34618  n[1] = 20349 n[2] = 
5027  n[3] = 550   n[4] = 164   n[5] = 9     n[6] = 2
     udp_sport: max 13 min 0 total_access 82542  n[1] = 549   n[2] = 
1167  n[3] = 1635  n[4] = 1706  n[5] = 1341  n[6] = 836   n[7] = 483 
n[8] = 223   n[9] = 87    n[10] = 27
Hash without folding:
     flow_label: max 1 min 0 total_access 32766  n[1] = 32766
     udp_sport: max 4 min 0 total_access 65530 
n[3] = 2     n[4] = 8190


cm source port range [32768, 65534], dest port 18521:
Hash with folding:
     flow_label: max 2 min 0 total_access 32766  n[1] = 31924 n[2] = 421
     udp_sport: max 9 min 0 total_access 51864   n[1] = 4505  n[2] = 
4645  n[3] = 3038  n[4] = 1464  n[5] = 542   n[6] = 154   n[7] = 43 
n[8] = 6     n[9] = 2
Hash without folding:
     flow_label: max 1 min 0 total_access 32766  n[1] = 32766
     udp_sport: max 3 min 1 total_access 32810   n[1] = 24    n[2] = 
16338 n[3] = 22


cm source port range [32768, 65534], dest port 18522:
Hash with folding:
     flow_label: max 3 min 0 total_access 32768  n[1] = 32197 n[2] = 283 
   n[3] = 1
     udp_sport: max 9 min 0 total_access 50850   n[1] = 4561  n[2] = 
4756  n[3] = 3187  n[4] = 1452  n[5] = 453   n[6] = 137   n[7] = 29 
n[8] = 2     n[9] = 2
Hash without folding:
     flow_label: max 1 min 0 total_access 32766  n[1] = 32766
     udp_sport: max 2 min 1 total_access 32766   n[1] = 2     n[2] = 16382


cm source port range [32768, 65534], dest port 18523:
Hash with folding:
     flow_label: max 2 min 0 total_access 32766  n[1] = 32514 n[2] = 126
     udp_sport: max 8 min 0 total_access 52208   n[1] = 4426  n[2] = 
4609  n[3] = 3069  n[4] = 1435  n[5] = 533   n[6] = 180   n[7] = 50 
n[8] = 10
Hash without folding:
     flow_label: max 1 min 0 total_access 32766  n[1] = 32766
     udp_sport: max 4 min 0 total_access 46062   n[1] = 3096  n[2] = 
6640  n[3] = 3094  n[4] = 1777


cm source port range [32768, 65534], dest port 18524:
Hash with folding:
     flow_label: max 3 min 0 total_access 32774  n[1] = 31362 n[2] = 696 
   n[3] = 4
     udp_sport: max 8 min 0 total_access 49490   n[1] = 4440  n[2] = 
5148  n[3] = 3240  n[4] = 1413  n[5] = 394   n[6] = 97    n[7] = 14 
n[8] = 1
Hash without folding:
     flow_label: max 1 min 0 total_access 32766  n[1] = 32766
     udp_sport: max 2 min 1 total_access 32766   n[1] = 2     n[2] = 16382



> Jason
> 


  reply index

Thread overview: 24+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2020-01-08 14:26 Alex Rosenbaum
2020-01-15  9:48 ` Mark Zhang
2020-02-06 14:18 ` Tom Talpey
2020-02-06 14:35   ` Jason Gunthorpe
2020-02-06 14:39   ` Alex Rosenbaum
2020-02-06 15:19     ` Tom Talpey
2020-02-08  9:58       ` Alex Rosenbaum
2020-02-12 15:47         ` Tom Talpey
2020-02-13 11:03           ` Alex Rosenbaum
2020-02-13 15:26             ` Tom Talpey
2020-02-13 15:41               ` Jason Gunthorpe
2020-02-14 14:23                 ` Mark Zhang [this message]
2020-02-15  6:27                   ` Mark Zhang
2020-02-18 14:16                     ` Tom Talpey
2020-02-18 17:41                       ` Tom Talpey
2020-02-19  1:51                         ` Mark Zhang
2020-02-19  2:01                           ` Tom Talpey
2020-02-19  2:06                             ` Mark Zhang
2020-02-19 13:06                               ` Jason Gunthorpe
2020-02-19 17:41                                 ` Tom Talpey
2020-02-19 17:55                                   ` Jason Gunthorpe
2020-02-20  1:04                                   ` Mark Zhang
2020-02-21 14:47                                     ` Tom Talpey
2020-02-25 13:20                                       ` Alex Rosenbaum

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