Difference between revisions of "Duo Trio Quart (Bitboards)"
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'''[[Main Page|Home]] * [[Board Representation]] * [[Bitboards]] * [[Pawn Pattern and Properties]] * Duo Trio Quart''' | '''[[Main Page|Home]] * [[Board Representation]] * [[Bitboards]] * [[Pawn Pattern and Properties]] * Duo Trio Quart''' | ||
| − | [[FILE:SamuelBakWhiteAndBlue.jpg|border|right|thumb|link=http://chgs.elevator.umn.edu/asset/viewAsset/57f3b6787d58ae5f74bf8ba9#57f3b6d77d58ae5574bf8bba|[[ | + | [[FILE:SamuelBakWhiteAndBlue.jpg|border|right|thumb|link=http://chgs.elevator.umn.edu/asset/viewAsset/57f3b6787d58ae5f74bf8ba9#57f3b6d77d58ae5574bf8bba|[[:Category:Samuel Bak|Samuel Bak]] - White and Blue <ref> |
| − | [http://chgs.elevator.umn.edu/asset/viewAsset/57f3b6787d58ae5f74bf8ba9#57f3b6d77d58ae5574bf8bba Chess in the Art of Samuel Bak], [http://www.chgs.umn.edu/ Center for Holocaust & Genocide Studies], [ | + | [http://chgs.elevator.umn.edu/asset/viewAsset/57f3b6787d58ae5f74bf8ba9#57f3b6d77d58ae5574bf8bba Chess in the Art of Samuel Bak], [http://www.chgs.umn.edu/ Center for Holocaust & Genocide Studies], [[University of Minnesota]]</ref> ]] |
'''Pawn-Duo''', (Phalanx) <ref>[http://www.chess-game-strategies.com/pawn-structure_general_page-5_phalanx-formation.html Pawn Structure (General) | Page 5 of 5 | Phalanx Formation]</ref> <br/> | '''Pawn-Duo''', (Phalanx) <ref>[http://www.chess-game-strategies.com/pawn-structure_general_page-5_phalanx-formation.html Pawn Structure (General) | Page 5 of 5 | Phalanx Formation]</ref> <br/> | ||
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=External Links= | =External Links= | ||
| − | * [ | + | * [https://www.chess.com/forum/view/chess-equipment/pawn-power-in-chess-by-hans-kmoch-glossary-of-terms Pawn Power in Chess by Hans Kmoch - Glossary of Terms - Chess Forums] - [https://en.wikipedia.org/wiki/Chess.com Chess.com] |
* [https://en.wikipedia.org/wiki/Duet Duet from Wikipedia] | * [https://en.wikipedia.org/wiki/Duet Duet from Wikipedia] | ||
* [https://en.wikipedia.org/wiki/Phalanx Phalanx from Wikipedia] | * [https://en.wikipedia.org/wiki/Phalanx Phalanx from Wikipedia] | ||
* [https://en.wikipedia.org/wiki/Trio Trio from Wikipedia] | * [https://en.wikipedia.org/wiki/Trio Trio from Wikipedia] | ||
* [http://kingaglyk.pl Kinga Głyk Trio] - Walking Baby, [http://www.visioninmusica.com/ VisionInMusica], [https://en.wikipedia.org/wiki/Terni Terni], March 10, 2017, [https://en.wikipedia.org/wiki/YouTube YouTube] Video | * [http://kingaglyk.pl Kinga Głyk Trio] - Walking Baby, [http://www.visioninmusica.com/ VisionInMusica], [https://en.wikipedia.org/wiki/Terni Terni], March 10, 2017, [https://en.wikipedia.org/wiki/YouTube YouTube] Video | ||
| − | : [[ | + | : [[:Category:Kinga Głyk|Kinga Głyk]], [http://glyk.pl/ Irek Głyk], [http://www.visioninmusica.com/kinga-glyk-happy-birthday/ Rafal Stepien] |
: {{#evu:https://www.youtube.com/watch?v=Xmq52kc_HM0|alignment=left|valignment=top}} | : {{#evu:https://www.youtube.com/watch?v=Xmq52kc_HM0|alignment=left|valignment=top}} | ||
* [https://en.wikipedia.org/wiki/Quart_%28disambiguation%29 Quart (disambiguation) from Wikipedia] | * [https://en.wikipedia.org/wiki/Quart_%28disambiguation%29 Quart (disambiguation) from Wikipedia] | ||
| − | * [[ | + | * [[:Category:Panta Rhei|Panta Rhei]] plays [https://en.wikipedia.org/wiki/B%C3%A9la_Bart%C3%B3k Bartók's] Quarts, 1977, [https://en.wikipedia.org/wiki/YouTube YouTube] Video |
: {{#evu:https://www.youtube.com/watch?v=xDiKq9Wf0UQ|alignment=left|valignment=top}} | : {{#evu:https://www.youtube.com/watch?v=xDiKq9Wf0UQ|alignment=left|valignment=top}} | ||
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'''[[Pawn Pattern and Properties|Up one Level]]''' | '''[[Pawn Pattern and Properties|Up one Level]]''' | ||
| + | [[Category:Samuel Bak]] | ||
| + | [[Category:Hans Kmoch]] | ||
| + | [[Category:Kinga Głyk]] | ||
| + | [[Category:Panta Rhei]] | ||
Revision as of 21:31, 22 October 2019
Home * Board Representation * Bitboards * Pawn Pattern and Properties * Duo Trio Quart
Pawn-Duo, (Phalanx) [2]
two adjacent pawns of the same color on the same rank that mutually cover the other's stop square. A Trio are three horizontal friendly pawns, a Quart four horizontal friendly pawns.
Working in the bitboard centric world to determine pawn related pattern set-wise.
The code snippets rely on shifting bitboards, specially by one step only.
Neighbors
To get pawns with east or west neighbors is simple:
U64 pawnsWithEastNeighbors(U64 pawns) {
return pawns & westOne (pawns);
}
U64 pawnsWithWestNeighbors(U64 pawns) {
return pawnsWithEastNeighbors(pawns) << 1; // * 2
}
or
U64 pawnsWithWestNeighbors(U64 pawns) {
return pawns & eastOne (pawns);
}
U64 pawnsWithEastNeighbors(U64 pawns) {
return pawnsWithWestNeighbors(pawns) >> 1;
}
♙♙♙ ♙♙ |
pawns pawns with east pawns with west pawns with east
neighbors neighbors and west neighbors
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Neighbor Algebra
Pawns with east or west neighbors are at least member of a duo. Pawns with east and west neighbors at least member of a trio. If two neighbors have both east and west neighbors, it is at least a quart.
An exclusive pawn duo is therefor a pawn with one neighbor, while this neighbor has no other neighbor as well.
U64 duo (U64 pawns) {
U64 withWestNeighbors = pawnsWithWestNeighbors(pawns);
U64 withEastNeighbors = withWestNeighbors >> 1;
U64 withOneExclusiveNeighbor = withWestNeighbors ^ withEastNeighbors;
U64 withExclusiveWestNeighbor = withWestNeighbors & withOneExclusiveNeighbor;
U64 withExclusiveEastNeighbor = withEastNeighbors & withOneExclusiveNeighbor;
U64 duoWestOne = withEclusiveEastNeighbor & (withEclusiveWestNeighbor >> 1);
U64 duoEastOne = duoWestOne << 1;
return duoWestOne | duoEastOne;
}
pawns pawns with excl. pawns with excl. duo
east neighbor west neighbor
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See also
Forum Posts
- The phalanx concept by Lyudmil Tsvetkov, CCC, May 21, 2014
External Links
- Pawn Power in Chess by Hans Kmoch - Glossary of Terms - Chess Forums - Chess.com
- Duet from Wikipedia
- Phalanx from Wikipedia
- Trio from Wikipedia
- Kinga Głyk Trio - Walking Baby, VisionInMusica, Terni, March 10, 2017, YouTube Video
- Quart (disambiguation) from Wikipedia
- Panta Rhei plays Bartók's Quarts, 1977, YouTube Video
