
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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![Consider the following algorithm:
1. procedure FFT_like_pattern (A, n)
2. begin
3. m := log2 (n);
4. for j := 0 to m
1 do
5.
k := pow(2,j);
1 do
A[i] := A[i] + A[i XOR k] ;
6.
for i
:= 0 to n
7.
8. end forj
9. end FFT_like_pattern
Questions:
• Assume a decomposition such that each execution of Line 7 is a task. Draw a task-
dependency graph and a task-interaction graph.
• For n =
16, devise a good mapping for 16 processes and for 8 processes.
• How does the above analysis change if
log2(n) - 1 ?
m
%3D
Reference: These are Problems 3.15-3.18 from "Introduction to Parallel Computing",
Second](https://content.bartleby.com/qna-images/question/ae97ba33-0401-4fc3-9495-7e9f293b172b/2683335a-5147-49e5-9921-924397be900b/uw9cdxv_thumbnail.png)
Transcribed Image Text:Consider the following algorithm:
1. procedure FFT_like_pattern (A, n)
2. begin
3. m := log2 (n);
4. for j := 0 to m
1 do
5.
k := pow(2,j);
1 do
A[i] := A[i] + A[i XOR k] ;
6.
for i
:= 0 to n
7.
8. end forj
9. end FFT_like_pattern
Questions:
• Assume a decomposition such that each execution of Line 7 is a task. Draw a task-
dependency graph and a task-interaction graph.
• For n =
16, devise a good mapping for 16 processes and for 8 processes.
• How does the above analysis change if
log2(n) - 1 ?
m
%3D
Reference: These are Problems 3.15-3.18 from "Introduction to Parallel Computing",
Second
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