https://en.wikipedia.org/w/index.php?action=history&feed=atom&title=Block_swap_algorithms
Block swap algorithms - Revision history
2025-06-03T08:29:44Z
Revision history for this page on the wiki
MediaWiki 1.45.0-wmf.3
https://en.wikipedia.org/w/index.php?title=Block_swap_algorithms&diff=1254575247&oldid=prev
Nyq: lc common nouns, wikiformatting
2024-10-31T17:41:26Z
<p>lc common nouns, wikiformatting</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>In computer [[algorithm]]s, '''<del style="font-weight: bold; text-decoration: none;">Block</del> swap algorithms''' swap two regions of elements of an [[Array data structure|array]]. It is simple to swap two non-overlapping regions of an [[array data structure|array]] of equal size. However, it is not simple to swap two non-overlapping regions of an array in-place that are next to each other, but are of unequal sizes (such swapping is equivalent to '''<del style="font-weight: bold; text-decoration: none;">Array</del> <del style="font-weight: bold; text-decoration: none;">Rotation</del>'''). Three algorithms are known to accomplish this: Bentley's <del style="font-weight: bold; text-decoration: none;">Juggling</del> (also known as ''<del style="font-weight: bold; text-decoration: none;">Dolphin</del> <del style="font-weight: bold; text-decoration: none;">Algorithm</del>'' <ref>D. Gries, H. Mills (1981), [https://hdl.handle.net/1813/6292 Swapping Sections]</ref>), Gries-Mills, and <del style="font-weight: bold; text-decoration: none;">Reversal</del>.<ref>Jon Bentley, "Programming Pearls", pp. 13–15, 209-211.</ref> All three algorithms are linear time [[Big O notation|</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>In computer [[algorithm]]s, '''<ins style="font-weight: bold; text-decoration: none;">block</ins> swap algorithms''' swap two regions of elements of an [[Array data structure|array]]. It is simple to swap two non-overlapping regions of an [[array data structure|array]] of equal size. However, it is not simple to swap two non-overlapping regions of an array in-place that are next to each other, but are of unequal sizes (such swapping is equivalent to '''<ins style="font-weight: bold; text-decoration: none;">array</ins> <ins style="font-weight: bold; text-decoration: none;">rotation</ins>'''). Three algorithms are known to accomplish this: <ins style="font-weight: bold; text-decoration: none;">''</ins>Bentley's <ins style="font-weight: bold; text-decoration: none;">juggling''</ins> (also known as ''<ins style="font-weight: bold; text-decoration: none;">dolphin</ins> <ins style="font-weight: bold; text-decoration: none;">algorithm</ins>'' <ref>D. Gries, H. Mills (1981), [https://hdl.handle.net/1813/6292 Swapping Sections]</ref>), <ins style="font-weight: bold; text-decoration: none;">''</ins>Gries-Mills<ins style="font-weight: bold; text-decoration: none;">''</ins>, and <ins style="font-weight: bold; text-decoration: none;">''reversal algorithm''</ins>.<ref>Jon Bentley, "Programming Pearls", pp. 13–15, 209-211.</ref> All three algorithms are linear time [[Big O notation|</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Gries-Mills and <del style="font-weight: bold; text-decoration: none;">Reversal</del> algorithms perform better than Bentley's <del style="font-weight: bold; text-decoration: none;">Juggling</del>, because of their [[Cache (computing)|cache]]-friendly [[memory access pattern]] behavior.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Gries-Mills and <ins style="font-weight: bold; text-decoration: none;">reversal</ins> algorithms perform better than Bentley's <ins style="font-weight: bold; text-decoration: none;">juggling</ins>, because of their [[Cache (computing)|cache]]-friendly [[memory access pattern]] behavior.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The <del style="font-weight: bold; text-decoration: none;">Reversal</del> algorithm [[Parallel computing|parallelizes]] well, because rotations can be split into sub-regions, which can be rotated independently of others.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The <ins style="font-weight: bold; text-decoration: none;">reversal</ins> algorithm [[Parallel computing|parallelizes]] well, because rotations can be split into sub-regions, which can be rotated independently of others.</div></td>
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Nyq
https://en.wikipedia.org/w/index.php?title=Block_swap_algorithms&diff=1099109982&oldid=prev
Tagishsimon: rm cat improve
2022-07-19T01:55:57Z
<p>rm cat improve</p>
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Tagishsimon
https://en.wikipedia.org/w/index.php?title=Block_swap_algorithms&diff=1092533714&oldid=prev
SamanthaNguyen: /* Reversal algorithm */ improve phrasing
2022-06-10T21:41:03Z
<p><span class="autocomment">Reversal algorithm: </span> improve phrasing</p>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The reversal algorithm is the simplest to explain, using rotations. A rotation is an in-place reversal of array elements. This method swaps two elements of an array from outside in within a range. The rotation works for an even<del style="font-weight: bold; text-decoration: none;"> number of elements</del> or<del style="font-weight: bold; text-decoration: none;"> an</del> odd number of array elements. The reversal algorithm uses three in-place rotations to accomplish an in-place block swap:</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The reversal algorithm is the simplest to explain, using rotations. A rotation is an in-place reversal of array elements. This method swaps two elements of an array from outside in within a range. The rotation works for an even or odd number of array elements. The reversal algorithm uses three in-place rotations to accomplish an in-place block swap:</div></td>
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SamanthaNguyen
https://en.wikipedia.org/w/index.php?title=Block_swap_algorithms&diff=1053694697&oldid=prev
117.205.26.6 at 13:37, 5 November 2021
2021-11-05T13:37:34Z
<p></p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>In computer [[algorithm]]s, '''Block swap algorithms''' swap two regions of elements of an [[Array data structure|array]]. It is simple to swap two non-overlapping regions of an [[array data structure|array]] of equal size. However, it is not simple to swap two non-overlapping regions of an array in-place that are next to each other, but are of unequal sizes. Three algorithms are known to accomplish this: Bentley's Juggling (also known as ''Dolphin Algorithm'' <ref>D. Gries, H. Mills (1981), [https://hdl.handle.net/1813/6292 Swapping Sections]</ref>), Gries-Mills, and Reversal.<ref>Jon Bentley, "Programming Pearls", pp. 13–15, 209-211.</ref> All three algorithms are linear time [[Big O notation|</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>In computer [[algorithm]]s, '''Block swap algorithms''' swap two regions of elements of an [[Array data structure|array]]. It is simple to swap two non-overlapping regions of an [[array data structure|array]] of equal size. However, it is not simple to swap two non-overlapping regions of an array in-place that are next to each other, but are of unequal sizes<ins style="font-weight: bold; text-decoration: none;"> (such swapping is equivalent to '''Array Rotation''')</ins>. Three algorithms are known to accomplish this: Bentley's Juggling (also known as ''Dolphin Algorithm'' <ref>D. Gries, H. Mills (1981), [https://hdl.handle.net/1813/6292 Swapping Sections]</ref>), Gries-Mills, and Reversal.<ref>Jon Bentley, "Programming Pearls", pp. 13–15, 209-211.</ref> All three algorithms are linear time [[Big O notation|</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O(n)]], (see [[Time complexity]]).</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O(n)]], (see [[Time complexity]]).</div></td>
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117.205.26.6
https://en.wikipedia.org/w/index.php?title=Block_swap_algorithms&diff=1053693987&oldid=prev
117.205.26.6 at 13:31, 5 November 2021
2021-11-05T13:31:13Z
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Block swap algorithms'''<del style="font-weight: bold; text-decoration: none;"> </del> swap two elements of an [[Array data structure|array]]<del style="font-weight: bold; text-decoration: none;"> in computer [[algorithm]]s</del>. It is simple to swap two non-overlapping regions of an [[array data structure|array]] of equal size. However, it is not simple to swap two non-overlapping regions of an array in-place that are next to each other, but are of unequal sizes. Three algorithms are known to accomplish this: Bentley's Juggling, Gries-Mills, and Reversal.<ref>Jon Bentley, "Programming Pearls", pp. 13–15, 209-211.</ref> All three algorithms are linear time [[Big O notation|</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">In computer [[algorithm]]s, </ins>'''Block swap algorithms''' swap two<ins style="font-weight: bold; text-decoration: none;"> regions of</ins> elements of an [[Array data structure|array]]. It is simple to swap two non-overlapping regions of an [[array data structure|array]] of equal size. However, it is not simple to swap two non-overlapping regions of an array in-place that are next to each other, but are of unequal sizes. Three algorithms are known to accomplish this: Bentley's Juggling<ins style="font-weight: bold; text-decoration: none;"> (also known as ''Dolphin Algorithm'' <ref>D. Gries, H. Mills (1981), [https://hdl.handle.net/1813/6292 Swapping Sections]</ref>)</ins>, Gries-Mills, and Reversal.<ref>Jon Bentley, "Programming Pearls", pp. 13–15, 209-211.</ref> All three algorithms are linear time [[Big O notation|</div></td>
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<td class="diff-marker"></td>
<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O(n)]], (see [[Time complexity]]).</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O(n)]], (see [[Time complexity]]).</div></td>
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117.205.26.6
https://en.wikipedia.org/w/index.php?title=Block_swap_algorithms&diff=974602872&oldid=prev
Elinruby: Wl
2020-08-23T22:40:16Z
<p>Wl</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Context|date=July 2019}}</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Block swap algorithms''' swap two elements of an [[Array data structure|array]] in computer [[algorithm]]s. It is simple to swap two non-overlapping regions of an array of equal size. However, it is not simple to swap two non-overlapping regions of an array in-place that are next to each other, but are of unequal sizes. Three algorithms are known to accomplish this: Bentley's Juggling, Gries-Mills, and Reversal.<ref>Jon Bentley, "Programming Pearls", pp. 13–15, 209-211.</ref> All three algorithms are linear time [[Big O notation|</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''Block swap algorithms''' swap two elements of an [[Array data structure|array]] in computer [[algorithm]]s. It is simple to swap two non-overlapping regions of an <ins style="font-weight: bold; text-decoration: none;">[[</ins>array<ins style="font-weight: bold; text-decoration: none;"> data structure|array]]</ins> of equal size. However, it is not simple to swap two non-overlapping regions of an array in-place that are next to each other, but are of unequal sizes. Three algorithms are known to accomplish this: Bentley's Juggling, Gries-Mills, and Reversal.<ref>Jon Bentley, "Programming Pearls", pp. 13–15, 209-211.</ref> All three algorithms are linear time [[Big O notation|</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O(n)]], (see [[Time complexity]]).</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O(n)]], (see [[Time complexity]]).</div></td>
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Elinruby
https://en.wikipedia.org/w/index.php?title=Block_swap_algorithms&diff=971321790&oldid=prev
Elinruby: added Category:Sorting algorithms using HotCat
2020-08-05T11:37:20Z
<p>added <a href="/wiki/Category:Sorting_algorithms" title="Category:Sorting algorithms">Category:Sorting algorithms</a> using <a href="/wiki/Wikipedia:HC" class="mw-redirect" title="Wikipedia:HC">HotCat</a></p>
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Elinruby
https://en.wikipedia.org/w/index.php?title=Block_swap_algorithms&diff=971321753&oldid=prev
Elinruby: added Category:Arrays using HotCat
2020-08-05T11:36:59Z
<p>added <a href="/wiki/Category:Arrays" title="Category:Arrays">Category:Arrays</a> using <a href="/wiki/Wikipedia:HC" class="mw-redirect" title="Wikipedia:HC">HotCat</a></p>
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Elinruby
https://en.wikipedia.org/w/index.php?title=Block_swap_algorithms&diff=971321431&oldid=prev
Elinruby: Wl
2020-08-05T11:34:02Z
<p>Wl</p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Block swap algorithms'''<del style="font-weight: bold; text-decoration: none;"> is the simple art of</del> <del style="font-weight: bold; text-decoration: none;">swapping</del> two elements of an [[Array data structure|array]] in computer [[algorithm]]s. It is<del style="font-weight: bold; text-decoration: none;"> also</del> simple to swap two non-overlapping regions of an array of equal size. However, it is not simple to swap two non-overlapping regions of an array in-place that are next to each other, but are of unequal sizes. Three algorithms are known to accomplish this: Bentley's Juggling, Gries-Mills, and Reversal.<ref>Jon Bentley, "Programming Pearls", pp. 13–15, 209-211.</ref> All three algorithms are linear time [[Big O notation|</div></td>
<td class="diff-marker" data-marker="+"></td>
<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''Block swap algorithms''' <ins style="font-weight: bold; text-decoration: none;">swap</ins> two elements of an [[Array data structure|array]] in computer [[algorithm]]s. It is simple to swap two non-overlapping regions of an array of equal size. However, it is not simple to swap two non-overlapping regions of an array in-place that are next to each other, but are of unequal sizes. Three algorithms are known to accomplish this: Bentley's Juggling, Gries-Mills, and Reversal.<ref>Jon Bentley, "Programming Pearls", pp. 13–15, 209-211.</ref> All three algorithms are linear time [[Big O notation|</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O(n)]], (see [[Time complexity]]).</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>O(n)]], (see [[Time complexity]]).</div></td>
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Elinruby
https://en.wikipedia.org/w/index.php?title=Block_swap_algorithms&diff=971321296&oldid=prev
Elinruby: /* Reversal algorithm */ wl
2020-08-05T11:32:36Z
<p><span class="autocomment">Reversal algorithm: </span> wl</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Previous revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:32, 5 August 2020</td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Rotate region AB</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Gries-Mills and Reversal algorithms perform better than Bentley's Juggling, because of their [[Cache (computing)|cache]]-friendly memory access pattern behavior.</div></td>
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<td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Gries-Mills and Reversal algorithms perform better than Bentley's Juggling, because of their [[Cache (computing)|cache]]-friendly <ins style="font-weight: bold; text-decoration: none;">[[</ins>memory access pattern<ins style="font-weight: bold; text-decoration: none;">]]</ins> behavior.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The Reversal algorithm [[Parallel computing|parallelizes]] well, because rotations can be split into sub-regions, which can be rotated independently of others.</div></td>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The Reversal algorithm [[Parallel computing|parallelizes]] well, because rotations can be split into sub-regions, which can be rotated independently of others.</div></td>
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Elinruby