From 42d99a8e1b93eee3c6c133bef7a92b6be2d7b9d2 Mon Sep 17 00:00:00 2001 From: Noah Zarro <noahzarro@gmail.com> Date: Thu, 29 Jul 2021 16:21:43 +0200 Subject: [PATCH] chapter 8 --- images/batcher.png | Bin 0 -> 56626 bytes images/bitonic_sequence_sorter.png | Bin 0 -> 60259 bytes images/half_cleaner.png | Bin 0 -> 33736 bytes images/merging_network.png | Bin 0 -> 47206 bytes images/odd_even.png | Bin 0 -> 53730 bytes images/shear.png | Bin 0 -> 102034 bytes summary.md | 15 +++++++++++++++ 7 files changed, 15 insertions(+) create mode 100644 images/batcher.png create mode 100644 images/bitonic_sequence_sorter.png create mode 100644 images/half_cleaner.png create mode 100644 images/merging_network.png create mode 100644 images/odd_even.png create mode 100644 images/shear.png diff --git a/images/batcher.png b/images/batcher.png new file mode 100644 index 0000000000000000000000000000000000000000..7f1f3228487392f4ee0a15b82a9be277d9061d60 GIT binary patch literal 56626 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algorithm sorts all inputs of 0’s and 1’s, then it sorts arbitrary inputs. ## Algorithms ### Coloring @@ -54,5 +55,19 @@ rounds. |Pointer Forwarding|| |Ivy|| +### Sorting +|Name|Algorithm|Steps| +|---|---|---| +|Odd/Even||$`O(n)`$| +|Shear||$`O(\sqrt{n}\log(n))`$| + +### Sorting Networks +|Name|Algorithm|Dept| +|---|---|---| +|Half Cleaner|<br>Feeding a bitonic sequence into a half cleaner, the half cleaner cleans (makes all-0 or all-1) either the upper or the lower half of the n wires. The other half is bitonic.|$`n`$| +|Bitonic Sequence Sorter|<br>A bitonic sequence sorter of width n sorts bitonic sequences. It has depth log n|$`\log n`$| +|Merging Network|<br>A merging network of width n merges two sorted input sequences of length n/2 each into one sorted sequence of length n.|$`1+2\log n`$| +|Batcher Network|<br>A sorting network (Algorithm 8.18) sorts an arbitrary sequence of n values.|$`O(\log^2n)`$| + ## Structures \ No newline at end of file -- GitLab