Piece-Lists

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 * Home * Board Representation * Piece-Lists**

 =MicroChess= Peter Jennings' board representation in MicroChess completely relies on an array of 32 Bytes for each possible piece. Content of the following addresses were either square coordinates in the 0..63 range, or, to indicate a piece was captured and no longer on the board, appropriate values outside that range. After make-unmake, Jennings reversed the board by subtracting coordinates from 63 (octal 077), to keep all nodes searched the same color. To alter some bytes inside those addresses with a Monitor program was also the way to enter positions in the first 6502-based MicroChess on a KIM-1.
 * Piece-Lists** are lists or arrays of all up to 32 pieces (including pawns and king) on the board. Likely, type and color of pieces are associated by a certain index range or disjoint lists or arrays. Each element of the list or array for each particular piece associates the square occupied by this piece.

 =New Architecture= As elaborated in his thesis //New Architectures in Computer Chess, Chapter 2 Non-Bitboard Architectures//, Fritz Reul keeps disjoint piece lists in his 32-bit program Loop Leiden, even disjoint lists for bishops with different square color, for multiple loops per piece-type and ray-directions for sliding pieces with compact loop bodies with piece specific code, for instance the blocker loops in capture generation. For an efficient incremental update in making and unmaking moves with from- and to-coordinates, an **index board** - like the common piece board, indexed by those square coordinates - keeps piece-type relative indíces to the appropriate piece lists. The following sample demonstrates how rooks are traversed and how the data structure concerning a single move list of white rooks is updated after making and then unmaking two consecutive moves.
 * MEMORY LOCATIONS FOR THE PIECES ||
 * ~ COMPUTER ||~  ||~ YOUR ||
 * ~ PIECES ||~  ||~ PIECES ||
 * 0050 || King || 0060 ||
 * 0051 || Queen || 0061 ||
 * 0052 || King Rook || 0062 ||
 * 0053 || Queen Rook || 0063 ||
 * 0054 || King Bishop || 0064 ||
 * 0055 || Queen Bishop || 0065 ||
 * 0056 || King Knight || 0066 ||
 * 0057 || Queen Knight || 0067 ||
 * 0058 || K R Pawn || 0068 ||
 * 0059 || Q R Pawn || 0069 ||
 * 005A || K N Pawn || 006A ||
 * 005B || Q N Pawn || 006B ||
 * 005C || K B Pawn || 006C ||
 * 005D || Q B Pawn || 006D ||
 * 005E || K Pawn || 006E ||
 * 005F || Q Pawn || 006F ||
 * 005F || Q Pawn || 006F ||

Declaration
code format="cpp" int nWhiteRooks; /* counter white rooks */ int white_rook_list[MAX_ROOKS]; /* MAX_ROOKS = 10 */ ... int white_index_board[64]; /* or 15x12 board array */ code

Piece List Traversal
The piece list traversal for instance in move generation is straight forward or backward.

Forward
code format="cpp" for (int p = 0; p < nWhiteRooks; ) { fromsquare = white_rook_list[p++]; ... } code

Backward
code format="cpp" for (int p = nWhiteRooks; p > 0; ) { fromsquare = white_rook_list[--p]; ... } code 

Incremental Update
Incremental update is demonstrated by making Rb5-b8, Ra8xb8 concerning the white rook list and index board, ignoring the black lists and piece array. Since removing a captured piece is done by copying the last piece of the list to fill the gap of the removed piece, but inserting in unmake is done by appending at the end of the list, the piece list of one piece-type may be shuffled in "random" order, yielding in changed move ordering and SEE rarely producing different results, since pieces like rook and knight may traversed in different order. 

Make Moves
code Initial                            make(Rb5-b8)                        make (xb8) nWhiteRooks--; index = white_index_board[b5];     index  = white_index_board[b8]; white_index_board[b8] = index;     square = white_rook_list[nWhiteRooks]; white_rook_list[index] = b8;       white_rook_list[index] = square; white_index_board[square] = index white_rook_list nWhiteRooks = 2                    nWhiteRooks = 2                     nWhiteRooks = 1 0   1  ...                         0    1  ...                         0    1  ...                         ┌────┬────┬─~──┐                    ┌────┬────┬─~──┐                    ┌────┬────┬─~──┐                       │ b5 │ h1 │... │                    │ b8 │ h1 │... │                    │ h1 │ h1*│... │                      └────┴────┴─~──┘                    └────┴────┴─~──┘                    └────┴────┴─~──┘                       white_index_board ┌───┬───┬───┬───┬───┬───┬───┬───┐  ┌───┬───┬───┬───┬───┬───┬───┬───┐   ┌───┬───┬───┬───┬───┬───┬───┬───┐    8 │   │   │   │   │   │   │   │   | 8 │   │ 0 │   │   │   │   │   │   | 8 │   │ 0*│   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    7 │   │   │   │   │   │   │   │   | 7 │   │   │   │   │   │   │   │   | 7 │   │   │   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    6 │   │   │   │   │   │   │   │   | 6 │   │   │   │   │   │   │   │   | 6 │   │   │   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    5 │   │ 0 │   │   │   │   │   │   | 5 │   │ 0*│   │   │   │   │   │   | 5 │   │ 0*│   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    4 │   │   │   │   │   │   │   │   | 4 │   │   │   │   │   │   │   │   | 4 │   │   │   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    3 │   │   │   │   │   │   │   │   | 3 │   │   │   │   │   │   │   │   | 3 │   │   │   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    2 │   │   │   │   │   │   │   │   | 2 │   │   │   │   │   │   │   │   | 2 │   │   │   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    1 │   │   │   │   │   │   │   │ 1 | 1 │   │   │   │   │   │   │   │ 1 | 1 │   │   │   │   │   │   │   │ 0 |      └───┴───┴───┴───┴───┴───┴───┴───┘   └───┴───┴───┴───┴───┴───┴───┴───┘   └───┴───┴───┴───┴───┴───┴───┴───┘        a   b   c   d   e   f   g   h       a   b   c   d   e   f   g   h       a   b   c   d   e   f   g   h

code 
 * no longer valid indices

Unmake Moves
code unmake(xb8)                        unmake(Rb5-b8)

white_rook_list[nWhiteRooks] = b8; index = white_index_board[b8]; white_index_board[b8]=nWhiteRooks; white_index[b5] = index; nWhiteRooks++;                     white_rook_list[index] = b5;

nWhiteRooks = 1                    nWhiteRooks = 2                     nWhiteRooks = 2 0   1  ...                         0    1  ...                         0    1  ...                         ┌────┬────┬─~──┐                    ┌────┬────┬─~──┐                    ┌────┬────┬─~──┐                       │ h1 │ ...│... │                    │ h1 │ b8 │... │                    │ h1 │ b5 │... │                      └────┴────┴─~──┘                    └────┴────┴─~──┘                    └────┴────┴─~──┘                       white_index_board ┌───┬───┬───┬───┬───┬───┬───┬───┐  ┌───┬───┬───┬───┬───┬───┬───┬───┐   ┌───┬───┬───┬───┬───┬───┬───┬───┐    8 │   │ 0*│   │   │   │   │   │   | 8 │   │ 1 │   │   │   │   │   │   | 8 │   │ 1*│   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    7 │   │   │   │   │   │   │   │   | 7 │   │   │   │   │   │   │   │   | 7 │   │   │   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    6 │   │   │   │   │   │   │   │   | 6 │   │   │   │   │   │   │   │   | 6 │   │   │   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    5 │   │ 0*│   │   │   │   │   │   | 5 │   │ 0*│   │   │   │   │   │   | 5 │   │ 1 │   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    4 │   │   │   │   │   │   │   │   | 4 │   │   │   │   │   │   │   │   | 4 │   │   │   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    3 │   │   │   │   │   │   │   │   | 3 │   │   │   │   │   │   │   │   | 3 │   │   │   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    2 │   │   │   │   │   │   │   │   | 2 │   │   │   │   │   │   │   │   | 2 │   │   │   │   │   │   │   │   |      ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤   ├───┼───┼───┼───┼───┼───┼───┼───┤    1 │   │   │   │   │   │   │   │ 0 | 1 │   │   │   │   │   │   │   │ 0 | 1 │   │   │   │   │   │   │   │ 0 |      └───┴───┴───┴───┴───┴───┴───┴───┘   └───┴───┴───┴───┴───┴───┴───┴───┘   └───┴───┴───┴───┴───┴───┴───┴───┘        a   b   c   d   e   f   g   h       a   b   c   d   e   f   g   h       a   b   c   d   e   f   g   h

code =Linked Lists= Some programs apply linked lists instead of arrays for an efficient removal and insertion of pieces while making or unmaking captures. Sample declaration and code was proposed by Daniel Shawul in CCC.
 * no longer valid indices

=See also=
 * 0x88
 * Bitboards
 * Piece-Sets

=Publications=
 * Dietrich Prinz (**1952**). //Robot Chess//. Research, Vol. 6, reprinted 1988 in Computer Chess Compendium
 * Alex Bell (**1972**). //[|Games Playing with Computers]//. [|Allen & Unwin], ISBN-13: 978-0080212227
 * Peter Jennings (**1976**). //[|MicroChess, a Chess playing program for the 6502 Microcomputer]//. [|pdf], Courtesy of Peter Jennings, The Computer History Museum
 * Fritz Reul (**2009**). //New Architectures in Computer Chess//. Ph.D. Thesis, [|pdf]

=Forum Posts=

1994 ...

 * [|Speed up UpdatePieceList] by Vincent Diepeveen, gnu.chess, April 18, 1994
 * [|piece list possibilities] by Tom Kerrigan, CCC, July 07, 1998
 * [|is the "dead bit" a good idea?] by Tom Kerrigan, CCC, July 20, 1998

2000 ...

 * [|Re: C or C++ for Chess Programming?] by Dan Newman, CCC, August 23, 2000
 * [|"Piece List" - Administration?] by Axel Grüttner, CCC, March 03, 2003
 * [|Two questions for bitboard experts] by Tord Romstad, Winboard Forum, November 06, 2004 » Bitboards, In Between
 * [|Piece-list representation] by Alessandro Scotti, Winboard Forum, July 17, 2005

2010 ...

 * [|Re: Is there such a thing as branchless move generation?] by Daniel Shawul, CCC, June 10, 2012
 * [|Fast lookup of pieces for move generation without bitboards] by Shawn Chidester, CCC, September 10, 2015
 * [|PieceLists ?] by Mahmoud Uthman, CCC, February 10, 2017

=External Links=
 * [|Chapter 3: Board Games - 3.1 CHESS] from Alex Bell (**1972**). //[|Games Playing with Computers]//. [|Allen & Unwin], ISBN-13: 978-0080212227

=References= =What links here?= include page="Piece-Lists" component="backlinks" limit="80"
 * Up one Level**