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Interconnection Networks 1
1.
Interconnection Networks
2.
Switch-based Interconnection Networks A.
Crossbar Networks The network complexity (Number of Switches) O(𝑵𝟐 ) The time complexity O(𝟏)
3.
Switch-based Interconnection Networks B.
Single-Stage Networks
4.
B. Single-Stage Networks Shuffle
– Exchange 000 001 010 011 110 Source 0( 000) Destination 6(110) Source Destination E S E S 0 1 2 3 6 First bit تبديل اليسار الى تحريك
5.
Shuffle – Exchange
( تنافسي 2018 ) Source 4 (100) Destination 7 (111) Source Destination S(100) 1(001) E(001) 0(000) S(000) 0(000) E(000) 1(001) S(001) 2(010) E(010) 3(011) S(011) 6(110) E (110) 7(111) First bit تبديل اليسار الى تحريك
6.
The Cube Network Source
Destination 𝑪𝟎(0) = 1 0 1 i 2 1 0 0 0 0 0 i 2 1 0 1 0 0 1 𝑪𝟎
7.
The Cube Network Source
Destination 𝑪𝟎(4) = 5 4 5 i 2 1 0 4 1 0 0 i 2 1 0 5 1 0 1 𝑪𝟎
8.
The Cube Network Source
Destination 𝑪𝟏(7) = 5 7 5 i 2 1 0 7 1 1 1 i 2 1 0 5 1 0 1 𝑪𝟏
9.
The Cube Network Source
Destination 𝑪𝟐(6) = 2 6 2 i 2 1 0 6 1 1 0 i 2 1 0 2 0 1 0 𝑪𝟐
10.
Source Destination 4 5 For
example, consider the case N = 8, i = 0 𝑷𝑴𝟐+𝟎 (4) = 4 + 𝟐𝟎 mod 8 = 5 The Plus–Minus
11.
Source Destination 4 6 For
example, consider the case N = 8, i = 1 𝑷𝑴𝟐+𝟏 (4) = 4 + 𝟐𝟏 mod 8 = 6 The Plus–Minus
12.
The Plus–Minus Source Destination 7
3 For example, consider the case N = 8, i = 2 𝑷𝑴𝟐+𝟐 (7) = 7 + 𝟐𝟐 mod 8 = 3
13.
The Butterfly Function Source
Destination B(001) = 100 B(010) = 010 B(011) = 110 B(100) = 001 B(101) = 101 B(110) = 011
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