A Data Motion Algorithm
A Data Motion Algorithm
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In our eReader you can find the full English version of the book. Read A Data Motion Algorithm Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Data Motion Algorithm
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Ij is the binary representation of i, we define unshuffle(i) = iii^ij). ! .. -12. ^^^ partner (i) = in " ' * b^i where Tj = The algorithm proceeds as follows: Each PE. Initializes Q. To (w. , ir (i), 1) and then iterates through the following 3 steps until, for all i, w. € PE, . Y (1) If dj^, the k^*^ bit of d, and i have different parities, then send x to the rear of ^partner (i)* (2) If d = i, remove x (since the w contained therein is w^-l/i^ ).
(3) Set k = k+ 1 and send x to the rear of Q .... , „ ....
3. A Crude Analysis of the Average Case We make the fundamental assumptions that the permutation has been selected at random and that at each step the triples are randomly distributed among the processors. The latter assumption should be reasonable except near the beginning and end of the algorithm's execution.
Using the fundamental assiunptions, it is easy to see that the average number of non-empty queues is P (1-(1-1/P)P ) c- p (1 . I/e). Since each of the P pairs must execute- steps (1) and (3) at most log P times and at each iteration of steps (1) and (3), P(l-iye) pairs are processed, it follows that (log P) / (1 - 1/e)
What to read after A Data Motion Algorithm?
You can find similar books in the "Read Also" column, or choose other free books by Allan Gottlieb to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Ij is the binary representation of i, we define unshuffle(i) = iii^ij). ! .. -12. ^^^ partner (i) = in " ' * b^i where Tj = The algorithm proceeds as follows: Each PE. Initializes Q. To (w. , ir (i), 1) and then iterates through the following 3 steps until, for all i, w. € PE, . Y (1) If dj^, the k^*^ bit of d, and i have different parities, then send x to the rear of ^partner (i)* (2) If d = i, remove x (since the w contained therein is w^-l/i^ ).
(3) Set k = k+ 1 and send x to the rear of Q .... , „ ....
3. A Crude Analysis of the Average Case We make the fundamental assumptions that the permutation has been selected at random and that at each step the triples are randomly distributed among the processors. The latter assumption should be reasonable except near the beginning and end of the algorithm's execution.
Using the fundamental assiunptions, it is easy to see that the average number of non-empty queues is P (1-(1-1/P)P ) c- p (1 . I/e). Since each of the P pairs must execute- steps (1) and (3) at most log P times and at each iteration of steps (1) and (3), P(l-iye) pairs are processed, it follows that (log P) / (1 - 1/e)
What to read after A Data Motion Algorithm?
You can find similar books in the "Read Also" column, or choose other free books by Allan Gottlieb to read onlineMoreLess
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