ݺߣ

ݺߣShare a Scribd company logo
Solving Nonograms
in parallel
Group 7
0456095 ~ҿ
0116339 S
0116097 ꐹ
1.
Introduction / Motivation

? ߉݋[
? }ĿһcꇈD
}
? NP-complete
? O(2NxN)
? 1000}Ŀ
? c50%~35%
? Size = 25x25
What is Nonogram
Motivation
ƽҪ10~15Ӌһ݆
?ƽл
?pٌҪĕrg
?ھ׌㷨˼·
2.
Related Work /
Problem statement
How to solve
Genetic Algorithm
For big size problem,depth-first
search algorithm is better
Linear programming
Exact cover
Interesting way,but hard to
improve
Search Algorithm
Most paper
Heuristics rules
Branch and bound
Depth-first search
The Algorithm we choose
1. Line solving
dynamic programming
һӋ}Ŀеһ
2. Fully probing
Ȍ}ĿвͬP
ҳһϷһǷIJݽ
3. Backtracking
ь
depth-first search
I-Chen Wu; Der-Johng Sun; Lung-Ping Chen; Kan-Yueh Chen; Ching-Hua Kuo; Hao-Hua Kang; Hung-Hsuan Lin, An
Efficient Approach to Solving Nonograms,
~ҿ; Sչ, Nonogram}ٷ̽ӑ
Online resources
Original program: https://github.com/xnum/nng2014
Google-perftools: http://gperftools.googlecode.com/svn/trunk/doc/cpuprofile.html
About SIMD: http://www.intel.com/content/dam/www/public/us/en/documents/manuals/64-ia-32-
architectures-software-developer-vol-1-manual.pdf
OpenMPI v1.6 documentation: http://www.open-mpi.org/doc/v1.6/
pthread on Linux: http://linux.die.net/man/3/pthread_create
Environment
Hardware
? E5-2620 v2 @ 2.1GHz
2cpus, 12cores, HT disabled
? DDR3 16GB 1600MHz w/ ECC
? 1 node
Software
? Ubuntu 14.04.3 LTS
? Gcc 4.8.4
? OpenMPI 1.6.5
Compiler arguments:
mpic++ -Wall -Wextra -std=c++11 -
m64 -march=native -msse4.2 -g
3.
Proposed solution
/ Evaluation
ʽY
?ʽ^gᣬӋSIMDָ̎
?memset ,memcmp ,xor ,and ,or
?̫Y͑BҪcpu cycleӋ
?SIMD register size (128bits,256bits,512bits)
ʽY(cont.d)
old new
544bits 192bits
ʽY(cont.d)
old new
192bits 128bits
ʽY(Eval)
old new new2
data1 398s 383s 380s
data2 563s 542s 538s
data3 417s 401s 398s
ӛwȡ
1. Ҫmemcpydata16bytes align
aligned loadָ
2. struct ( <=128bits) assignment ȡ memcpy
ӛwȡ(Eval)
serial optimized
data1 1242s 1131s
data2 1403s 1358s
data3 1204s 1143s
? Compiler arguments:
? g++ -std=c++11 -msse4.2 -
march=native -O3
? Эh:
? n̹վ
MPI Ver 1
for( int i = rank*data_size ;
i < (rank+1)*data_size ;
++i )
doSolve();
1 1 2 2 3 3 4 4 5 5
? εз
? ɹƽ
? Ác֮㷨^
MPI Ver 2
for( int i = rank ;
i < problem_size ;
i += size )
doSolve();
1 2 3 4 5 1 2 3 4 5
? ׌problemseӋ
? ߀з䲻r
MPI Ver 3 Dynamic Scheduling
Master
Do
wait for ask problem
dispatch to slave
Until All problems are solved
Slaves
Do
ask new problem
do solve
Until no more problems
MPI Ver 3 (patch)
Master
Do
wait for ask problem
dispatch to slave
Until All problems are solved
Slaves
Do
ask new problem
do solve
Until no more problems
Busy waiting
Master call MPI-Recv and
its a sync IO function
Async IO for MPI-Recv
int MPI_MyRecv( ... ) {
PMPI_Irecv( ... );
do {
nanosleep( ... );
PMPI_Request_get_status( ... );
} while (!flag);
return (*status).MPI_ERROR;
}
0
1
2
3
4
5
6
7
8
9
10
1 2 4 8 10
MPI ver 1
TAAI2012 TAAI2013 TAAI2014 Perfect
0
1
2
3
4
5
6
7
8
9
10
1 2 4 8 10
MPI ver 2
TAAI2012 TAAI2013 TAAI2014 Perfect
0
1
2
3
4
5
6
7
8
9
10
1 2 4 8 10
MPI ver 3
TAAI2012 TAAI2013 TAAI2014 Perfect
0
1
2
3
4
5
6
7
8
9
10
1 3 5 9 11
MPI ver 3(patch) N+1 core
TAAI2012 TAAI2013 TAAI2014 Perfect
MPI ver execution time(seconds) on 10 cores
serial ver1 ver2 ver3 ver3(p)
data1 2089 891 451 413 400
data2 2635 978 811 577 560
data3 2154 741 409 441 415
WHY
When we use 10 cores,
speedup only 5.2x
0
100
200
300
400
500
600
TAAI2012 TAAI2013 TAAI2014
execution time on 10 core
1 2 3 4 5 6 7 8 9 10
0
100
200
300
400
500
600
700
800
900
TAAI2012 TAAI2013 TAAI2014
execution time on 4 core
1 2 3 4
Min and Max proc. Exec time
4,min 10,min 4,max 10,max
data1 538 191 601 400
data2 652 216 816 560
data3 480 164 710 415

We need threads
҂Lԇ
?Custom thread pools
?Tiny master and worker system
?Sync without pthread-cond- pthread-mutex balabala
?pthread-rwlock for data dependency
But still fails
Execution time ~7000s
How about GPU?
?̫Branch
?throughputСlʸ
?һKmemory(600M)cachepӋ
Contributions
~ҿ S ꐹ
Proposal 100% 0% 0%
Related work 70% 15% 15%
Design / coding 70% 15% 15%
Evaluation 0% 50% 50%
Presentation 100% 0% 0%
Conclusion
Data dependency
YԵ͵ĵطܵõܺõ
ЧL
oQԆ}
ʽЧܷܕ׃
Memory
Ӌ}⣬ӛwʹú
ȡҲǺҪĿc
Load Balancing
Ĕr£
}؄eױ¶׌
ƽһ̶ȵЧ

Project Repository
https://github.com/xnum/nng2014
thanks!
Any questions?
You can find me at
@xnum
s000032001@gmail.com

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