Programming

1
Programming

• SA --- Systolic Array
• SIMD --- Single Instruction Multiple Data
• ISA --- Instruction Systolic Array
• MIMD --- Multiple Instruction Multiple Data

We will compare on examples the systolic merge
architecture and the ISA merge architecture
2
parallel merge

• initial situation
• 1.) sort columns
• (odd-even-transposition sort)
• 2.) sort rows
• (odd-even-transposition sort)
• sorted !!!!

x1
x2 x3 x4 x5 x6
...
x7
...
x17 x18
y1 y2 y3 y4 y5 y6
...
y7
...
y17 y18
3
0-1 principle

• The 0-1 principle states that if all sequences of
  0 and 1 are sorted properly than this is a
  correct sorter.
• The sorter must be based on moving data.

4
MIMD-mesh (clocked)

min
max
Time 2n
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge
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systolic merge

• sorted !!!

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ISA merge
Array to be sorted
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge
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ISA merge