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two parts:
1, task represented by DAG

edges << operations => better for parallelism
2, programming model defining DAG





work span analysis





https://maths-people.anu.edu.au/~brent/pub/pub022.html


second condition



brent‘s theorem:




https://crd-legacy.lbl.gov/~dhbailey/dhbpapers/twelve-ways.pdf





The correct answer depends on the situation.








The Holy Grail for span is to find a poly-logarithmic algorithm




replace par-for with a procedure call


for i loop, the y[i]s are independent from each other
but for j loop, every component depends on y[i]

eg



![]()


j loop is linear and executed by n times.


t[:] ← A[i,:] \cdot x[:]
linear work and logarithmic span (look at the forth slide of this page)

https://www.cprogramming.com/parallelism.html


[High Performance Computing] {Udacity} L3: Intro to the Work-Span Model
标签:depends bpa city tin log mat cut cal pre
原文地址:https://www.cnblogs.com/ecoflex/p/10888011.html