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Faster Coroutine Pipelines:A Reconstruction
Ruben Pieters
1
Tom Schrijvers
Stream Processing
2
Stream Processing
3Data
Stream Processing
4
Result
Data
Stream Processing
5
Result
IO
Data
Stream Processing
6
[Data] -> IO Result
Stream Processing
7
[Data] -> IO Result
Stream Processing
8
Stream Processing
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Stream Processing
Data Result
IO
Stream Processing
10
Stream Processing
Data Result
IO
Stream Processing
11
Stream Processing
Data Result
IO
Stream Processing
12
Stream Processing
Data Result
IO
Stream Processing
13
Stream Processing
14
Stream Processing
15
Data Result
IO
Stream Processing
16
Traditional1,2
Alternative3,4
1Pipes, Gonzalez, Haskell Library2Conduit, Snoyman, Haskell Library3Continuations and Transducer Composition, Shivers and Might, PLDI ‘064Faster Coroutine Pipelines, Spivey, ICFP ‘17
Overview
17
Goal
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Introduction to● Traditional Representation1,2
● Alternative Representation3,4
1Pipes, Gonzalez, Haskell Library2Conduit, Snoyman, Haskell Library3Continuations and Transducer Composition, Shivers and Might, PLDI ‘064Faster Coroutine Pipelines, Spivey, ICFP ‘17
Our Paper
19
Traditional1,2
Alternative3,4
1Pipes, Gonzalez, Haskell Library2Conduit, Snoyman, Haskell Library3Continuations and Transducer Composition, Shivers and Might, PLDI ‘064Faster Coroutine Pipelines, Spivey, ICFP ‘17
Systematic Derivation
Story
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hellooooooo world!!!
I only just worked out that the Moon landings were a hoax
hellooooooo world!!!
im a nice person!
Step 1: Generate And Tweet
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hellooooooo world!!!
I only just worked out that the Moon landings were a hoax
hellooooooo world!!!
im a nice person!
Step 2: Filter Bad
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hellooooooo world!!!
I only just worked out that the Moon landings were a hoax
hellooooooo world!!!
im a nice person!
Step 3: Filter Duplicates
23
hellooooooo world!!!
I only just worked out that the Moon landings were a hoax
hellooooooo world!!!
im a nice person!
Problem While Filtering Duplicates
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Step 1: Generate And Tweet
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Producer/Consumer
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Pr(oducer) o m r
Producer/Consumer
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Pr(oducer) o m r
o o
Producer/Consumer
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Pr(oducer) o m r
o o
Producer/Consumer
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Pr(oducer) o m r
o or
Producer/Consumer
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: Pr String IO Ø
o o=
Producer/Consumer
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Co(nsumer) i m r
Producer/Consumer
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Co(nsumer) i m r
i i
Producer/Consumer
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Co(nsumer) i m r
i i
Producer/Consumer
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Co(nsumer) i m r
i i r
Producer/Consumer
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: Co String IO Ø
= i i
Merge
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Merge
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merge
Merge
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a
a
a
a
Merge
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a
a
a
a
Merge
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a
a
a
a
Merge
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a
a
a
a
Merge
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a
a
a
a
Merge
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a
a
a
a
Merge
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a
a
a
a
Merge
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a
a
a
a
Merge
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a
a
a
a
Result Step 1
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hellooooooo world!!!I only just worked out that the Moon landings were a hoax
Step 2: Filter Bad
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Filter
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filter
Pipe
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P(ipe) i o m r
i
Pipe
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P(ipe) i o m r
io
Pipe
52
P(ipe) i o m r
io
Pipe
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= P(ipe) Ø o m rPr(oducer) o m r
Øo
Pipe
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= P(ipe) i Ø m rCo(nsumer) o m r
iØ
Merge
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a
ia
i
oa
a
o
Merge
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a
ia
i
oa
a
o
Merge
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a
ia
i
oa
a
o
Merge
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a
ia
i
oa
a
o
i
Merge
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a
i
oa
a
o
i
ai
Merge
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a
i
oa
a
o
i
ai
Merge
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a
i
oa
a
o
i
ai
o
Merge
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a
i
oa
a
o
i
ai
oi
Merge
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a
i
oa
o
i
ai
oi
a
Merge
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a
i
oa
o
i
ai
oi
a
o
Merge
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a
i
oa
o
i
ai
oi
a
o
Merge
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a
i
oa
o
i
ai
oi
a
o
pipes: (>->)conduit: (.|)
Filter
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filter
Filter
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isBad i
isGood i
i
o
Filter
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i
o
i
o
Filter
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=filter filteri
o
Filter
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a a
a a
a
a
a
a
filter
Filter
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a
a a
a
a
a
a
filter
Result Step 2
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Result Step 2
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hellooooooo world!!!
Result Step 2
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hellooooooo world!!!I only just worked out that the Moon landings were a hoax
Step 3: Filter Duplicates
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Nub
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nubfilter
Nub
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ao
Nub
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b
o
ao
/= a
Nub
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b
o
c
o
ao
/= a
/= a&&/= b
Nub
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= mergenub
filter(/= a)
io
nub
Result Step 3
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nubfilter
Result Step 3
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hellooooooo world!!!
I only just worked out that the Moon landings were a hoax
hellooooooo world!!!
im a nice person!
nubfilter
Result Step 3
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Contains many merge calls
nubfilter
Merge Performance
85
Alternative Representation
86
Traditional Representation
87
o o
Pr o r = (o, … (o, Pr o r))
…
Traditional Representation
88
i i
Co i r = (λi. … (λi. Co i r))
…
Alternative Representation
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o o
Pr o r: Ko -> r =
…
Alternative Representation
90
o o
Pr o r: Ko -> r =
λk. k o ( … (λk. k o ( Pr o r)))
Callback
…
Alternative Representation
91
o o
Pr o r: Ko -> r =
λk. k o ( … (λk. k o ( Pr o r)))
…
Alternative Representation
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i i
Co i r: Ki -> r =
λk. k (λi k. … (λi. Co i r))
…
Alternative Representation
93
merge = f xwhere f = x =
i ii
o oo
Alternative Representation Pipe
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io
?
Alternative Representation Pipe
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io
P i o r: Ko -> K
i -> r =
Alternative Representation Pipe
96
io
P i o r: Ko -> K
i -> r =
λko k
i. k
i (λi k
o k
i. k
o o
(P i o r))
Alternative Pipe Merge
97
mergeP = f xwhere f :
x : Ki -> K
a -> r
Ka -> K
o -> r
mergeP = f xwhere f :
x : Ki -> K
a -> r
Ka -> K
o -> r
Alternative Pipe Merge
98
a
Alternative Pipe Merge
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mergeP = ? p qwhere p = q =
i
o
a
Alternative Pipe Merge
100
mergeP = _ : Ki -> K
o -> r
where p : K
i -> K
a -> r
q : K
a -> K
o -> r
Alternative Pipe Merge
101
mergeP = _ : Ki -> K
o -> r
where p : K
i -> K
a -> r
q : K
a -> K
o -> r
Alternative Pipe Merge
102
mergeP = λko k
i. _ : r
where p : K
i -> K
a -> r
q : K
a -> K
o -> r
Alternative Pipe Merge
103
mergeP = λko k
i. _ : r
where λx. p k
i x :
K
a -> r
λx. p x k
o : K
a ->
r
Alternative Pipe Merge
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mergeP = merge p’ q’where p’ : q’ :
i ii
o oo
Alternative Pipe Merge
105
mergeP = p’ q’where p’ : q’ :
i ii
o oo
Alternative Pipe Merge
106
Nested Traditional Merge
107
i
a
a
aa
a
a
Nested Traditional Merge
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i
a
a
aa
a
a
Nested Traditional Merge
109
i
a
a
aa
a
a
Nested Traditional Merge
110
i
a
a
aa
a
a
a
Intermediate de- and reconstruction
aa
a
Nested Traditional Merge
111
i
a
a
aa
a
a
aa
Intermediate de- and reconstruction
Nested Traditional Merge
112
i
a
a
aa
a
a
aa
Intermediate de- and reconstruction
ia
Nested Traditional Merge
113
i
a
a
aa
a
a
a
Intermediate de- and reconstruction
i
Nested Traditional Merge
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i
a
a
aa
a
a
i
a
a
Nested Alternative Merge
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i
a
a
aa
a
a
Pass the callback through the nested merge
Nested Alternative Merge
116
i
a
a
aa
a
a
Pass the callback through the nested merge
Nested Alternative Merge
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i
a
a
aa
a
a
Pass the callback through the nested merge
Our Paper
118
How can we derive the fast representation from the traditional one systematically?
ruben.pieters@cs.kuleuven.besome images from Machinarium
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