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redis-lua-scaling-bloom-filter

add.lua, cas.lua and check.lua are three lua scripts for a scaling bloom filter for Redis

layer-add.lua and later-check.lua are two lua scripts for a scaling layered bloom filter for Redis

The scripts are to be executed using the EVAL command in Redis.

These scripts will probably not work on Redis cluster since the keys used inside the script aren't all passed as arguments!

The layered filter has a maximum number of 32 layers. You can modify this in the source.

add.lua, cas.lua and layer-add.lua

The add.lua script adds a new element to the filter. It will create the filter when it doesn't exist yet.

cas.lua does a Check And Set, this will not add the element if it already exist. cas.lua will return 0 if the element is added, or 1 if the element was already in the filter. Since we use a scaling filter adding an element using add.lua might cause the element to exist in multiple parts of the filter at the same time. cas.lua prevents this. Using only cas.lua the :count key of the filter will accurately count the number of elements added to the filter. Only using cas.lua will also lower the number of false positives by a small amount (less duplicates in the filter means less bits set).

layer-add.lua does a similar thing to cas.lua since this is necessary for the layer part to work (need to check all the filters in a layer to see if it already exists in the layer). layer-add.lua will return the layer number the element was added to.

These scripts expects 4 arguments.

1. The base name of the keys to use.
2. The initial size of the bloom filter (in number of elements).
3. The probability of false positives.
4. The element to add to the filter.

For example the following call would add "something" to a filter named test which will initially be able to hold 10000 elements with a probability of false positives of 1%.

eval "add.lua source here" 0 test 10000 0.01 something

check.lua and layer-check.lua

The check.lua and layer-check.lua scripts check if an element is contained in the bloom filter.

layer-check.lua returns the layer the element was found in.

These scripts expects 4 arguments.

1. The base name of the keys to use.
2. The initial size of the bloom filter (in number of elements).
3. The probability of false positives.
4. The element to check for.

For example the following call would check if "something" is part of the filter named test which will initially be able to hold 10000 elements with a probability of false positives of 1%.

eval "check.lua source here" 0 test 10000 0.01 something

Tests

$ npm install redis srand
$ node add.js
$ node cas.js
$ node check.js
$ # or/and
$ node layer-add.js
$ node layer-check.js

add.js and layer-add.js will add elements to a filter named test and then check if the elements are part of the filter.

check.js and layer-check.js will test random elements against the filter build by add.js or layer-add.js to find the probability of false positives.

Both script assume Redis is running on the default port.

Benchmark

You can run ./benchmark.sh and ./layer-benchmark.sh to see how fast the scripts are.

This script assumes Redis is running on the default port and redis-cli and redis-benchmark are installed.

This is the outputs on my 2.3GHz 2012 MacBook Pro Retina:

add.lua
====== evalsha ab31647b3931a68b3b93a7354a297ed273349d39 0 HSwVBmHECt 1000000 0.01 :rand:000000000000 ======
  200000 requests completed in 8.27 seconds
  20 parallel clients
  3 bytes payload
  keep alive: 1

94.57% <= 1 milliseconds
100.00% <= 2 milliseconds
24175.03 requests per second


check.lua
====== evalsha 437a3b0c6a452b5f7a1f10487974c002d41f4a04 0 HSwVBmHECt 1000000 0.01 :rand:000000000000 ======
  200000 requests completed in 8.54 seconds
  20 parallel clients
  3 bytes payload
  keep alive: 1

92.52% <= 1 milliseconds
100.00% <= 8 milliseconds
23419.20 requests per second


layer-add.lua
====== evalsha 7ae29948e3096dd064c22fcd8b628a5c77394b0c 0 ooPb5enskU 1000000 0.01 :rand:000000000000 ======
  20000 requests completed in 12.61 seconds
  20 parallel clients
  3 bytes payload
  keep alive: 1

55.53% <= 12 milliseconds
75.42% <= 13 milliseconds
83.71% <= 14 milliseconds
91.48% <= 15 milliseconds
97.76% <= 16 milliseconds
99.90% <= 24 milliseconds
100.00% <= 24 milliseconds
1586.04 requests per second


layer-check.lua
====== evalsha c1386438944daedfc4b5c06f79eadb6a83d4b4ea 0 ooPb5enskU 1000000 0.01 :rand:000000000000 ======
  20000 requests completed in 11.13 seconds
  20 parallel clients
  3 bytes payload
  keep alive: 1

0.00% <= 9 milliseconds
74.12% <= 11 milliseconds
80.43% <= 12 milliseconds
83.93% <= 13 milliseconds
97.43% <= 14 milliseconds
99.89% <= 15 milliseconds
100.00% <= 15 milliseconds
1797.59 requests per second