GAME OF LIFE

1
GAME OF LIFE
Load Balancing
2
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3
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?????? ????? Game of Life ????????
??? ???? ????????? ?? Jacobi ???? ????? ????
???? ????? ????? ??????? ????? ?????? ?????

1. Open MP
2. MPI master and slaves
3. MPI round robin division
4. MPI row division
5. MPI column division
6. MPI Cartesian topology

4
???? ????? Game of Life
????? ????? ?"? ????????? john conway ???? 1970
?????? ? .cellular automata ???? ?????
?????????? , ?? ?????? ???? ?????? ??? ???? . ???
????? ???? ?? ????? ??? ???? ????? ??????? , ???
?? ?? ???? ????? ???????? ???? ???? ?????? ?????
?? ??? ????? ?????? ?????
5
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6
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7
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8
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9
??? ?? ??? ??? ????? ????? ???? ????????.
10
???? ????????? ?? Jacobi

• ?????? ?? ???? ??? ?????? ?? ??????
• ???? ??? ?? ???? (x,y) ??????? ?? ?????? ?????.
• ???? ?? ?? ?????? ??? 1 ????? ?? ?? ?? ?????? 0.
• ?????? ????? ?? ?? ?? ????? ????? ????
• ????? ???? ????? ?????? ????? ???????? ??????.
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11
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12
Open MP

A set of compiler directives and library routines
for parallel application programmers
?????? ???? ?? ???? ???????? (threads ) ?????
????? ??????? ?????? ????? ??????? , ??? ?????
??????. ?????? ????? ?? ??????? ??????? ?? ????
??????? ???????
13
MPI master and slaves
????? ??? master ) ) ???? ?? ??????? ?? ????
??????. ?master ???? ?? ??????? ??? ??????? (
??????? ???? ??? ) ????? ??? ????? ( slave ) ???
?????? . ????? ?? ??????? ???? ?? slave ?? ??
??????? ?????? ?? ???? ???? , ?????? ? master.
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MPI round robin division
??????? ????? ???????. ????? ??????? ????????
????? ????? ?????? ???? ??? ????? ????? ?????
??????. ???? ??????? 2 ( m -1) m ????
??????? ???????
15
MPI row division
??????? ????? ??????. ?? ????? ???? ????? ?????
????? ??????. ???? ??????? 2 ( p -1) p ????
????????
16
MPI column division
??????? ????? ???????. ?? ????? ???? ????? ?????
?????? ??????. ???? ??????? 2 ( p -1) p
???? ????????
17
MPI Cartesian topology
????? ???? ??????? ?????? ?????? ?????? ??????
????? ?????? (grid) . ??-??? ????? ?? ????? ?????
????? ????? ????? ????? ?? ??????? ??????? ??
????? ????? ??????. ????? ?? ??? ?????? ????? ??
????? ??????? ?????? ????? ?????? ????? ?????
?????.
18
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19
Speed up
Cost
Efficiency
20
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?????? ?? ??? ????? ??? ???? ???? ??????
???????. .1 ???? ??????? ????????? ????????
??????. .2 ??? ?????? ??????? ??? ???????? ,
????? ?????? ???? ??????????? ?? ??????.
21
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Open MP
?????????? ?? ???? ??? ?????? ??????? ??? ??????
, ???? ????? ???? ???? ?? ?????? ???? ??? ???
???? ???? ???? ?? ???? ?? ??????.
22
???? ??? ???? ????? ??????/???????
MPI
???? ????? ???????? ???? ????? ???????. ?. ????
????? ???? ????? ????? ????cartesian topology
. ?. ???? ????? ????? ????? ????? ???? round
robin division . ?. ???? ?????? ???? ??? ?????
???? ??????? ?? ???? ?? ????? ??? ?????
?????? ?? ???? ?? ???? ??? ????.
23
????? ??????

1. ????? ???? ???????? .
2. ????? ???????? ??? ??????? ????? ????? ,????
   ???? ???? ????? ??????.
3. ????? ??? deadlock ????? ????? ????? ???
   ????????.

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• ????? ???? ???????? - ????? ???? ?????? ?? ?????
  ?????? ???? ????? ???????? ???????? ??????.????
  ??? ????? ??????? ????? ??? ???? ????? ?????.
• ????? ??????? ????? - ????? ????? ????? ?????.
• ????? ??? deadlock - ????? ??????
  MPI_sendrecv()