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-%%
-%% %CopyrightBegin%
-%%
-%% Copyright Ericsson AB 1996-2010. All Rights Reserved.
-%%
-%% Licensed under the Apache License, Version 2.0 (the "License");
-%% you may not use this file except in compliance with the License.
-%% You may obtain a copy of the License at
-%%
-%% http://www.apache.org/licenses/LICENSE-2.0
-%%
-%% Unless required by applicable law or agreed to in writing, software
-%% distributed under the License is distributed on an "AS IS" BASIS,
-%% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-%% See the License for the specific language governing permissions and
-%% limitations under the License.
-%%
-%% %CopyrightEnd%
-%%
-
-%%
--module(othello_adt).
--compile(export_all).
-%%-------------------------------------------------------
-%% Use three main states for the strategy:
-%%
-%% BeginPlay: Stay in the inner square as long as possible.
-%% Use the possible_draws/3.
-%%
-%% MiddlePlay: Try to choose stable markers (?)
-%% Use stable/3
-%%
-%% EndPlay: Try to flip as many markers as possible
-%%
-%% The transition from Begin to Middle is obvious. From Middle
-%% to End however, is can be discussed.
-%%-------------------------------------------------------
-
-test(N,B) ->
- X=new(B),
- statistics(wall_clock),
- test0(N,X),
- {_,T} = statistics(wall_clock),
- {time_was,T/N}.
-
-
-test0(0,_) -> true;
-test0(N,X) ->
- possible_draws(black,X,begin_play),
- test0(N-1,X).
-
-%%-------------------------------------------------------
-%% new/1 - returns a new board
-%%
-%% Uses a tuple for storing the board
-%%-------------------------------------------------------
-
-new(B) ->
- Board = mk_board(B),
- {ordsets:from_list([18,19,20,21,26,29,34,37,42,43,44,45]),Board}.
-
-mk_board(t) ->
- Tup = list_to_tuple(gen_list(64,grey)),
- Tup1 = setelement(28+1, Tup, white),
- Tup2 = setelement(35+1, Tup1, white),
- Tup3 = setelement(27+1, Tup2, black),
- gen_score_board(),
- setelement(36+1, Tup3, black).
-
-gen_list(0,_) -> [];
-gen_list(I,Def) -> [Def|gen_list(I-1,Def)].
-
-gen_score_board() -> put(score,list_to_tuple(gen_list(64,0))).
-
-%%-------------------------------------------------------
-%% pos(Col,Row) - returns a position describing column
-%% and row.
-%% Col and Row have the range 1 - 8.
-%%-------------------------------------------------------
-
-pos(Col,Row) -> ((Row - 1) bsl 3) + (Col - 1).
-
-%%-------------------------------------------------------
-%% col(Pos) - returns the column of the Pos position
-%%-------------------------------------------------------
-
-col(Pos) -> (Pos band 7) + 1.
-
-%%-------------------------------------------------------
-%% row(Pos) - returns the row of the Pos position
-%%-------------------------------------------------------
-
-row(Pos) -> (Pos bsr 3) + 1.
-
-%%-------------------------------------------------------
-%% is_draw(Pos,Colour,Board) - returns true if Pos is a
-%% correct draw.
-%%-------------------------------------------------------
-
-is_draw(Pos,Colour,{Bset,Board}) ->
- case ordsets:is_element(Pos,Bset) of
- true ->
- case catch is_good(Colour,Pos,Board) of
- true ->
- true;
- _ ->
- false
- end;
- _ ->
- false
- end.
-
-%%-------------------------------------------------------
-%% set(Pos,Colour,Board) - returns an updated board
-%%-------------------------------------------------------
-
-set(Pos,Colour,{Bset,Board}) ->
- case ordsets:is_element(Pos,Bset) of
- true ->
- NewBoard = setelement(Pos+1,Board,Colour),
- Empty = empty_neighbour(Pos,NewBoard),
- NewBset = ordsets:union(Empty,ordsets:del_element(Pos,Bset)),
- turn(Colour,Pos,{NewBset,NewBoard});
- _ ->
- {error,invalid_position}
- end.
-
-empty_neighbour(Pos,Board) ->
- ordsets:from_list(empty_neighbour(Pos,Board,deltas())).
-
-empty_neighbour(_,_,[]) -> [];
-empty_neighbour(Pos,Board,[H|T]) ->
- case is_empty(Pos+H,dir(Pos,H),Board) of
- true -> [Pos+H|empty_neighbour(Pos,Board,T)];
- _ -> empty_neighbour(Pos,Board,T)
- end.
-
-is_empty(_,false,_) -> false;
-is_empty(X,_,_Board) when X<0 -> false;
-is_empty(X,_,_Board) when X>63 -> false;
-is_empty(X,_,Board) ->
- case element(X+1,Board) of
- grey -> true; % Empty
- _ -> false
- end.
-
-%%-------------------------------------------------------
-%% get(Pos,Board) - returns the contents in Pos
-%%-------------------------------------------------------
-
-get(Pos,{_Bset,Board}) -> element(Pos+1,Board).
-
-%%-------------------------------------------------------
-%% pieces(Colour,Board) - returns the number of Colour
-%% pieces.
-%%-------------------------------------------------------
-
-pieces(Colour,{_Bset,Board}) ->
- pieces(Colour,Board,0,0).
-
-pieces(Colour,Board,Pos,Count) when Pos < 64 ->
- case element(Pos+1,Board) of
- Colour ->
- pieces(Colour,Board,Pos+1,Count+1);
- _ ->
- pieces(Colour,Board,Pos+1,Count)
- end;
-pieces(_,_,_,Count) ->
- Count.
-
-%%-------------------------------------------------------
-%% possible_draws(Colour, Board, State)
-%%
-%% Returns a list of possible draws regarding the current
-%% strategy state.
-%%-------------------------------------------------------
-
-possible_draws(Colour,{Bset,Board},begin_play) ->
- Dset = ordsets:intersection(Bset,inner_square()),
- possible_draws_0(Colour,Dset,Board);
-possible_draws(Colour,{Bset,Board},_) ->
- possible_draws_0(Colour,Bset,Board).
-
-possible_draws(Colour,{Bset,Board}) ->
- possible_draws_0(Colour,Bset,Board).
-
-possible_draws_0(_,[],_) -> [];
-possible_draws_0(Colour,[H|T],Board) ->
- case catch is_good(Colour,H,Board) of
- true -> [H|possible_draws_0(Colour,T,Board)];
- false -> possible_draws_0(Colour,T,Board)
- end.
-
-
-%%-------------------------------------------------------
-%% evaluate_board(Colour,Board) - returns the value of
-%% the board from Colours
-%% point of view.
-%%-------------------------------------------------------
-
-evaluate_board(Colour,{_Bset,Board}) ->
- Score = get(score), % Initialized (zeroed) score board !!
- Colour1 = swap(Colour),
- Score1 = eval_board(Colour,Colour1,Score,Board,0),
- Score2 = cnt_corner(0,Score1,Board,Colour,Colour1),
- Score3 = cnt_corner(7,Score2,Board,Colour,Colour1),
- Score4 = cnt_corner(56,Score3,Board,Colour,Colour1),
- Score5 = cnt_corner(63,Score4,Board,Colour,Colour1),
- count(Score5,0).
-% A = count(Score5,0),
-% io:format('Score = ~w~n',[A]),
-% A.
-
-eval_board(MyCol,OtCol,Score,Board,Pos) when Pos < 64 ->
- case element(Pos+1,Board) of
- MyCol ->
- Score1 = setelement(Pos+1,Score,score(Pos)),
- eval_board(MyCol,OtCol,Score1,Board,Pos+1);
- OtCol ->
- Score1 = setelement(Pos+1,Score,-score(Pos)),
- eval_board(MyCol,OtCol,Score1,Board,Pos+1);
- _ ->
- eval_board(MyCol,OtCol,Score,Board,Pos+1)
- end;
-eval_board(_,_,Score,_,_) ->
- Score.
-
-cnt_corner(Corner,Score,Board,MyCol,OtCol) ->
- case element(Corner+1,Board) of
- MyCol ->
- cnt_corn(Corner,setelement(Corner+1,Score,50),
- Board,50,MyCol);
- OtCol ->
- cnt_corn(Corner,setelement(Corner+1,Score,-50),
- Board,-50,OtCol);
- _ ->
- Score
- end.
-
-cnt_corn(0,Score,Board,Value,Colour) ->
- Score1 = cnt_corn(0,1,8,Score,Board,Value,Colour),
- cnt_corn(0,8,1,Score1,Board,Value,Colour);
-cnt_corn(7,Score,Board,Value,Colour) ->
- Score1 = cnt_corn(7,-1,8,Score,Board,Value,Colour),
- cnt_corn(7,8,-1,Score1,Board,Value,Colour);
-cnt_corn(56,Score,Board,Value,Colour) ->
- Score1 = cnt_corn(56,1,-8,Score,Board,Value,Colour),
- cnt_corn(56,-8,1,Score1,Board,Value,Colour);
-cnt_corn(63,Score,Board,Value,Colour) ->
- Score1 = cnt_corn(63,-1,-8,Score,Board,Value,Colour),
- cnt_corn(63,-8,-1,Score1,Board,Value,Colour).
-
-cnt_corn(Pos,Dir,LineDir,Score,Board,Value,Colour) ->
- case dir(Pos,Dir) of
- Dir ->
- NextEdge = Pos+Dir,
- case element(NextEdge+1,Board) of
- Colour ->
- Score1 = setelement(NextEdge+1,Score,Value),
- Score2 = cnt_line(NextEdge,LineDir,Score1,Board,
- Colour,Value),
- cnt_corn(NextEdge,Dir,LineDir,Score2,Board,Value,Colour);
- _ ->
- Score
- end;
- _ ->
- Score
- end.
-
-cnt_line(Pos,Dir,Score,Board,Colour,Value) ->
- case dir(Pos,Dir) of
- Dir ->
- OnLinePos = Pos+Dir,
- case element(OnLinePos+1,Board) of
- Colour ->
- Score1 = setelement(OnLinePos+1,Score,Value),
- cnt_line(OnLinePos,Dir,Score1,Board,Colour,Value);
- _ ->
- Score
- end;
- _ ->
- Score
- end.
-
-count(Score,Pos) when Pos < 64 ->
- element(Pos+1,Score) + count(Score,Pos+1);
-count(_,_) ->
- 0.
-
-swap(white) -> black;
-swap(black) -> white.
-
-%%-------------------------------------------------------
-%% stable(Colour,Pos,Board) - returns a value 0-8
-%%
-%% A high value is regarded as more stable than a lower one.
-%% The stability means how many "friendly" neighbours there
-%% are, i.e markers of the same colour. Neighbours positions
-%% outside the board are regarded as friendly.
-%%-------------------------------------------------------
-
-stable(Colour,Pos,{_,Board}) ->
- stable(deltas(),Colour,Pos,Board).
-
-stable([],_,_,_) -> 0;
-stable([H|T],Colour,Pos,Board) ->
- stable_val(Colour,Pos,H,Board) + stable(T,Colour,Pos,Board).
-
-stable_val(_,H,D,_) when H+D<0 -> 1;
-stable_val(_,H,D,_) when H+D>63 -> 1;
-stable_val(black,H,D,Board) ->
- case element((H+D)+1,Board) of
- black -> 1;
- _ -> 0
- end;
-stable_val(white,H,D,Board) ->
- case element((H+D)+1,Board) of
- white -> 1;
- _ -> 0
- end.
-
-%%-------------------------------------------------------
-%% diff(Board,OldBoard) - return a list of the positions
-%% with changed pieces.
-%% [{Pos1,Colour1},...]
-%%-------------------------------------------------------
-
-diff(Board,OldBoard) -> diff(0,Board,OldBoard).
-
-diff(Pos,Board,OldBoard) when Pos < 64 ->
- OldP = get(Pos,OldBoard),
- case get(Pos,Board) of
- OldP ->
- diff(Pos+1,Board,OldBoard);
- NewP ->
- [{Pos,NewP}|diff(Pos+1,Board,OldBoard)]
- end;
-diff(_,_,_) ->
- [].
-
-%%-------------------------------------------------------
-%% all_pos(Board) - return a list of the positions colour.
-%% [{Pos1,Colour1},...]
-%%-------------------------------------------------------
-
-all_pos(Board) -> all_pos(0,Board).
-
-all_pos(Pos,Board) when Pos < 64 ->
- [{Pos,get(Pos,Board)}|all_pos(Pos+1,Board)];
-all_pos(_,_) ->
- [].
-
-%%-------------------------------------------------------
-%% Internal stuff
-%%-------------------------------------------------------
-
-deltas() -> [9,8,7,1,-1,-7,-8,-9].
-
-inner_square() ->
- [18,19,20,21,26,27,28,29,34,35,36,37,42,43,44,45]. % Is already an ordset
- % Save list traversing.
-% ordsets:list_to_set([18,19,20,21,26,27,28,29,34,35,36,37,42,43,44,45]).
-
-inv(black) -> white;
-inv(white) -> black.
-
-is_good(Colour,H,Board) ->
- is_good_0(Colour,H,dir(H,-9),Board),
- is_good_0(Colour,H,dir(H,-8),Board),
- is_good_0(Colour,H,dir(H,-7),Board),
- is_good_0(Colour,H,dir(H,-1),Board),
- is_good_0(Colour,H,dir(H,1),Board),
- is_good_0(Colour,H,dir(H,7),Board),
- is_good_0(Colour,H,dir(H,8),Board),
- is_good_0(Colour,H,dir(H,9),Board),
- false.
-
-is_good_0(_,_,false,_) -> false;
-is_good_0(_,H,D,_) when is_integer(H), is_integer(D), H+D<0 -> false;
-is_good_0(_,H,D,_) when is_integer(H), is_integer(D), H+D>63 -> false;
-is_good_0(black,H,D,Board) when is_integer(H), is_integer(D) ->
- case element((H+D)+1,Board) of
- white -> is_good_1(black,H+D,dir(H+D,D),Board);
- _ -> false
- end;
-is_good_0(white,H,D,Board) when is_integer(H), is_integer(D) ->
- case element((H+D)+1,Board) of
- black -> is_good_1(white,H+D,dir(H+D,D),Board);
- _ -> false
- end.
-
-is_good_1(_,_,false,_) -> false;
-is_good_1(_,H,D,_) when is_integer(H), is_integer(D), H+D<0 -> false;
-is_good_1(_,H,D,_) when is_integer(H), is_integer(D), H+D>63 -> false;
-is_good_1(black,H,D,Board) when is_integer(H), is_integer(D) ->
- case element((H+D)+1,Board) of
- white -> is_good_1(black,H+D,dir(H+D,D),Board);
- black -> throw(true);
- _ -> false
- end;
-is_good_1(white,H,D,Board) when is_integer(H), is_integer(D) ->
- case element((H+D)+1,Board) of
- black -> is_good_1(white,H+D,dir(H+D,D),Board);
- white -> throw(true);
- _ -> false
- end.
-
-%%-------------------------------------------------------
-%% turn(Colour,Draw,Board) - returns an updated board
-%% turn all possible pieces
-%% on the board
-%% Neighbours are not changed !!
-%%-------------------------------------------------------
-
-turn(Colour,Draw,{Bset,Board}) ->
- {Bset,turn(Colour,Draw,-9,
- turn(Colour,Draw,-8,
- turn(Colour,Draw,-7,
- turn(Colour,Draw,-1,
- turn(Colour,Draw,1,
- turn(Colour,Draw,7,
- turn(Colour,Draw,8,
- turn(Colour,Draw,9,Board))))))))}.
-
-turn(Colour,H,D,Board) ->
- case catch is_good_0(Colour,H,dir(H,D),Board) of
- true ->
- turn_0(Colour,H,D,Board);
- false ->
- Board
- end.
-
-turn_0(_,H,D,B) when is_integer(H), is_integer(D), H+D<0 -> B;
-turn_0(_,H,D,B) when is_integer(H), is_integer(D), H+D>63 -> B;
-turn_0(black,H,D,Board) when is_integer(H), is_integer(D) ->
- E = H+D,
- case element(E+1,Board) of
- white -> turn_0(black,H+D,D,swap(black,E,Board));
- _ -> Board
- end;
-turn_0(white,H,D,Board) when is_integer(H), is_integer(D) ->
- E = H+D,
- case element(E+1,Board) of
- black -> turn_0(white,H+D,D,swap(white,E,Board));
- _ -> Board
- end.
-
-%%-------------------------------------------------------
-%% swap(Colour,Pos,Board) - returns an updated board
-%% turn a piece on the board
-%% Neighbours are not changed !!
-%%-------------------------------------------------------
-
-swap(Colour,Pos,Board) when is_integer(Pos) ->
- setelement(Pos+1,Board,Colour).
-
-score(Pos) -> score1({col(Pos),row(Pos)}).
-
-score1({Column,1}) when Column >= 3, Column =< 6 -> 20;
-score1({Column,8}) when Column >= 3, Column =< 6 -> 20;
-score1({1,Line}) when Line >= 3, Line =< 6 -> 20;
-score1({8,Line}) when Line >= 3, Line =< 6 -> 20;
-score1({Column,2}) when Column >= 3, Column =< 6 -> -7;
-score1({Column,7}) when Column >= 3, Column =< 6 -> -7;
-score1({2,Line}) when Line >= 3, Line =< 6 -> -7;
-score1({7,Line}) when Line >= 3, Line =< 6 -> -7;
-score1({Column,Line}) when Column >= 3, Column =< 6,
- Line >= 3, Line =< 6 -> 1;
-score1({1,1}) -> 100;
-score1({1,8}) -> 100;
-score1({8,1}) -> 100;
-score1({8,8}) -> 100;
-score1({2,1}) -> -30;
-score1({7,1}) -> -30;
-score1({1,2}) -> -30;
-score1({8,2}) -> -30;
-score1({1,7}) -> -30;
-score1({8,7}) -> -30;
-score1({2,8}) -> -30;
-score1({7,8}) -> -30;
-score1({2,2}) -> -50;
-score1({7,2}) -> -50;
-score1({2,7}) -> -50;
-score1({7,7}) -> -50.
-
-%%-------------------------------------------------------
-%% dir(Pos,Dir) - return Dir if allowed direction at Pos.
-%% else return false.
-%%-------------------------------------------------------
-
-dir(0,1) -> 1; % {1,1}
-dir(0,8) -> 8;
-dir(0,9) -> 9;
-dir(0,_) -> false;
-
-dir(7,-1) -> -1; % {8,1}
-dir(7,7) -> 7;
-dir(7,8) -> 8;
-dir(7,_) -> false;
-
-dir(56,-8) -> -8; % {1,8}
-dir(56,-7) -> -7;
-dir(56,1) -> 1;
-dir(56,_) -> false;
-
-dir(63,-9) -> -9; % {8,8}
-dir(63,-8) -> -8;
-dir(63,-1) -> -1;
-dir(63,_) -> false;
-
-dir(Pos,-1) when (Pos bsr 3) == 0 -> -1; % {_,1}
-dir(Pos,1) when (Pos bsr 3) == 0 -> 1;
-dir(Pos,7) when (Pos bsr 3) == 0 -> 7;
-dir(Pos,8) when (Pos bsr 3) == 0 -> 8;
-dir(Pos,9) when (Pos bsr 3) == 0 -> 9;
-dir(Pos,_) when (Pos bsr 3) == 0 -> false;
-
-dir(Pos,-9) when (Pos bsr 3) == 7 -> -9; % {_,8}
-dir(Pos,-8) when (Pos bsr 3) == 7 -> -8;
-dir(Pos,-7) when (Pos bsr 3) == 7 -> -7;
-dir(Pos,-1) when (Pos bsr 3) == 7 -> -1;
-dir(Pos,1) when (Pos bsr 3) == 7 -> 1;
-dir(Pos,_) when (Pos bsr 3) == 7 -> false;
-
-dir(Pos,-8) when (Pos band 7) == 0 -> -8; % {1,_}
-dir(Pos,-7) when (Pos band 7) == 0 -> -7;
-dir(Pos,1) when (Pos band 7) == 0 -> 1;
-dir(Pos,8) when (Pos band 7) == 0 -> 8;
-dir(Pos,9) when (Pos band 7) == 0 -> 9;
-dir(Pos,_) when (Pos band 7) == 0 -> false;
-
-dir(Pos,-9) when (Pos band 7) == 7 -> -9; % {8,_}
-dir(Pos,-8) when (Pos band 7) == 7 -> -8;
-dir(Pos,-1) when (Pos band 7) == 7 -> -1;
-dir(Pos,7) when (Pos band 7) == 7 -> 7;
-dir(Pos,8) when (Pos band 7) == 7 -> 8;
-dir(Pos,_) when (Pos band 7) == 7 -> false;
-
-dir(_Pos,Dir) -> Dir.
-