2013-11-03 14:12:38 +00:00
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%% -*- prolog -*-
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%%=============================================================================
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%% Copyright (C) 2011 by Denys Duchier
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%%
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%% This program is free software: you can redistribute it and/or modify it
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%% under the terms of the GNU Lesser General Public License as published by the
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%% Free Software Foundation, either version 3 of the License, or (at your
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%% option) any later version.
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%%
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%% This program is distributed in the hope that it will be useful, but WITHOUT
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%% ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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%% FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
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%% more details.
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%%
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%% You should have received a copy of the GNU Lesser General Public License
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%% along with this program. If not, see <http://www.gnu.org/licenses/>.
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%%=============================================================================
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:- use_module(library(gecode)).
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:- use_module(library(maplist)).
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% use alldiff constraints
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queens(N, Solution) :-
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Space := space,
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length(Queens, N),
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Queens := intvars(Space,N,1,N),
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Space += distinct(Queens),
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foldl(inc, Queens, Inc, 0, _),
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foldl(dec, Queens, Dec, 0, _),
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Space += distinct(Inc,Queens),
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Space += distinct(Dec,Queens),
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Space += branch(Queens, 'INT_VAR_SIZE_MIN', 'INT_VAL_MIN'),
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SolSpace := search(Space),
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Solution := val(SolSpace,Queens).
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inc(_, I0, I0, I) :-
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I is I0+1.
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dec(_, I0, I0, I) :-
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I is I0-1.
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%
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% Using gecode linear constraints for diagonals.
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%
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lqueens(N, Solution) :-
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Space := space,
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length(Queens, N),
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Queens := intvars(Space,N,1,N),
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Space += distinct(Queens),
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lconstrain( Queens, Space, 0),
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Space += branch(Queens, 'INT_VAR_SIZE_MIN', 'INT_VAL_MIN'),
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SolSpace := search(Space),
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Solution := val(SolSpace,Queens).
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lconstrain([], _, _).
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lconstrain( [Q|Queens], Space, I0) :-
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I is I0+1,
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foldl(constrain(Q, I0, Space), Queens, I, _),
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lconstrain( Queens, Space, I).
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constrain(Q, I, Space, R, J, J1) :-
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% Q+I != R+J, Q-I != R-J <=> Q-R != J-I, Q-R != I-J,
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J1 is J+1,
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Sum is I-J,
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Diff is J-I,
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Space += linear([1,-1], [Q,R], 'IRT_NQ', Diff),
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2019-03-15 12:38:09 +00:00
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Space += linear([1,-1], [Q,R], 'IRT_NQ', Sum).
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