501 lines
16 KiB
Prolog
501 lines
16 KiB
Prolog
%%% -*- Mode: Prolog; -*-
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%
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% $Date: 2010-12-02 15:20:15 +0100 (Thu, 02 Dec 2010) $
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% $Revision: 5043 $
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%
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% This file is part of ProbLog
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% http://dtai.cs.kuleuven.be/problog
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%
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% ProbLog was developed at Katholieke Universiteit Leuven
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%
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% Copyright 2008, 2009, 2010
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% Katholieke Universiteit Leuven
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%
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% Main authors of this file:
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% Bernd Gutmann
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%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%
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% Artistic License 2.0
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%
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% Copyright (c) 2000-2006, The Perl Foundation.
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%
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% Everyone is permitted to copy and distribute verbatim copies of this
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% license document, but changing it is not allowed. Preamble
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%
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% This license establishes the terms under which a given free software
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% Package may be copied, modified, distributed, and/or
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% redistributed. The intent is that the Copyright Holder maintains some
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% artistic control over the development of that Package while still
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% keeping the Package available as open source and free software.
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%
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% You are always permitted to make arrangements wholly outside of this
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% license directly with the Copyright Holder of a given Package. If the
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% terms of this license do not permit the full use that you propose to
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% a different licensing arrangement. Definitions
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%
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% Permission for Use and Modification Without Distribution
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% infringement, then this Artistic License to you shall terminate on the
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% date that such litigation is filed.
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% INCIDENTAL, OR CONSEQUENTIAL DAMAGES ARISING IN ANY WAY OUT OF THE USE
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% OF THE PACKAGE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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:- module(intervals, [intervals_merge/3,
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intervals_disjoin/3,
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intervals_disjoin/4,
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intervals_partition/2,
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intervals_encode/2]).
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:- style_check(all).
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:- yap_flag(unknown,error).
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:- use_module(library(lists), [member/2, reverse/2, select/3]).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% intervals_merge(+Interval1,+Interval2,-ResultingInterval)
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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intervals_merge(all,X,X).
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intervals_merge(none,_,none).
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intervals_merge(above(X),Other,Result) :-
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number(X),
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intervals_merge_above(Other,X,Result).
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intervals_merge(below(X),Other,Result) :-
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number(X),
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intervals_merge_below(Other,X,Result).
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intervals_merge(interval(X1,X2),Other,Result) :-
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number(X1),
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number(X2),
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intervals_merge_interval(Other,X1,X2,Result).
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intervals_merge_above(all,X,above(X)).
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intervals_merge_above(none,_,none).
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intervals_merge_above(above(Y),X,above(Z)) :-
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number(Y),
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Z is max(X,Y).
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intervals_merge_above(below(Y),X,Result) :-
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number(Y),
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(
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X=<Y
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->
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Result=interval(X,Y);
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Result=none
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).
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intervals_merge_above(interval(Y1,Y2),X,Result):-
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number(Y1),
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number(Y2),
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(
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X=<Y1
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->
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Result=interval(Y1,Y2);
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(
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X=<Y2
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->
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Result=interval(X,Y2);
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Result=none
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)
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).
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intervals_merge_below(all,X,below(X)).
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intervals_merge_below(none,_,none).
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intervals_merge_below(above(Y),X,Result) :-
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number(Y),
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(
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Y=<X
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->
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Result=interval(Y,X);
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Result=none
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).
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intervals_merge_below(below(Y),X,below(Z)) :-
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number(Y),
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Z is min(X,Y).
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intervals_merge_below(interval(Y1,Y2),X,Result) :-
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number(Y1),
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number(Y2),
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(
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X>=Y2
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->
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Result=interval(Y1,Y2);
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(
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X>=Y1
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->
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Result=interval(Y1,X);
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Result=none
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)
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).
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intervals_merge_interval(all,X1,X2,interval(X1,X2)).
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intervals_merge_interval(none,_,_,none).
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intervals_merge_interval(above(X),Y1,Y2,Result) :-
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number(X),
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intervals_merge_above(interval(Y1,Y2),X,Result).
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intervals_merge_interval(below(X),Y1,Y2,Result) :-
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number(X),
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intervals_merge_below(interval(Y1,Y2),X,Result).
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intervals_merge_interval(interval(X1,X2),Y1,Y2,Result) :-
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number(X1),
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number(X2),
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(
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X1<Y1
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->
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intervals_merge_interval_intern(X1,X2,Y1,Y2,Result);
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intervals_merge_interval_intern(Y1,Y2,X1,X2,Result)
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).
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intervals_merge_interval_intern(_X1,X2,Y1,Y2,Result) :-
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(
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Y1=<X2
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->
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(
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Y2=<X2
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->
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Result=interval(Y1,Y2);
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Result=interval(Y1,X2)
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);
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Result=none
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).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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select_all([],List,List).
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select_all([H|T],List,Remainder) :-
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once(select(H,List,TMP)),
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select_all(T,TMP,Remainder).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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intervals_disjoin(X,P,In,Out) :-
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disjoin_intern(X,P,In),
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select_all(In,P,Out).
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intervals_disjoin(X,P,In) :-
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disjoin_intern(X,P,In).
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disjoin_intern(below(X),P,In) :-
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findall((interval(A,B),Tail),(member((interval(A,B),Tail),P),B=<X),Tmp),
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(
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(member((below(Y),Tail),P),Y=<X)
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->
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In=[(below(Y),Tail)|Tmp];
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In=Tmp
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).
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disjoin_intern(above(X),P,In) :-
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findall((interval(A,B),Tail),(member((interval(A,B),Tail),P),A>=X),Tmp),
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(
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(member((above(Y),Tail),P),Y>=X)
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->
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In=[(above(Y),Tail)|Tmp];
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In=Tmp
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).
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disjoin_intern(interval(X,Y),P,In) :-
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findall((interval(A,B),Tail),(member((interval(A,B),Tail),P),A>=X,B=<Y),In).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% partitions a list of intervals into disjoined intervals
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% together with their prefix
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%
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%
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% ?- intervals_partition([below(10),above(5)],X).
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% X = [(below(5.0),[]),
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% (interval(5.0,10.0),[below(5.0)]),
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% (above(10.0),[interval(5.0,10.0),below(5.0)])]
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%
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%
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% intervals_partition(+List,-List)
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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intervals_partition([],[]).
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intervals_partition([X|T],[(below(A), [])|T2]) :-
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once(extract_points([X|T],[],[A|PT])),
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to_interval(PT,A,[below(A)],T2).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% extracts from list of intervals all relevant constants
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%
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% ?- intervals:extract_points([below(10),above(5)],[],L).
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% L = [5.0,10.0] ?
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%
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% extract_points(+List, +List, -List)
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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extract_points([],X,Y) :-
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sort(X,Y).
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extract_points([below(A)|T],X,Y) :-
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A2 is float(A),
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extract_points(T,[A2|X],Y).
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extract_points([above(A)|T],X,Y) :-
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A2 is float(A),
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extract_points(T,[A2|X],Y).
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extract_points([interval(A,B)|T],X,Y) :-
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A2 is float(A),
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B2 is float(B),
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extract_points(T,[A2,B2|X],Y).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% transforms a sorted list of constants into a list of
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% intervals together with their prefixes
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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to_interval([],A,Tail,[(above(A),Tail)]).
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to_interval([B|T],A,Tail,[(interval(A,B),Tail)|T2]) :-
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to_interval(T,B,[interval(A,B)|Tail],T2).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% encodes an interval as an atom
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%
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% ?- intervals_encode(below(42),X).
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% X = lm1000h42
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% ?- intervals_encode(above(23),X).
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% X = l23h1000
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% ?- intervals_encode(interval(-2.3,4.2),X).
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% X = lm2d3h4d2 ?
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%
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% intervals_encode(+Interval,-Atom)
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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intervals_encode(below(X),Atom) :-
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(
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X < -1000
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->
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X2 is 2*X;
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X2 is -1000
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),
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intervals_encode(interval(X2,X),Atom).
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intervals_encode(above(X),Atom) :-
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(
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X > 1000
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->
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X2 is 2*X;
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X2 is 1000
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),
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intervals_encode(interval(X,X2),Atom).
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intervals_encode(interval(Low,High),Atom) :-
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once(my_number_atom(Low,LowA)),
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once(my_number_atom(High,HighA)),
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atomic_concat([l,LowA,h,HighA],Atom).
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my_number_atom(Number,Atom) :-
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% make float
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NumberF is Number+0.0,
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number_codes(NumberF,XC),
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reverse(XC,A),
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remove_prefix_zeros(A,B),
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remove_prefix_dot(B,C),
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fix_special_cases(C,D),
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reverse(D,DC),
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replace_special_characters(DC,DC_Final),
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atom_codes(Atom,DC_Final).
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remove_prefix_zeros([],[]).
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remove_prefix_zeros([X|T],Result) :-
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(
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X==48 % 48 = '0'
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->
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remove_prefix_zeros(T,Result);
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Result=[X|T]
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).
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remove_prefix_dot([],[]).
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remove_prefix_dot([X|T],Result) :-
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(
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X==46 % 46 = '.'
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->
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Result=T;
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Result=[X|T]
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).
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fix_special_cases([],[48]).
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fix_special_cases([H|T],Result) :-
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(
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[H|T] == [48,45] % ='0-'
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->
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Result=[48];
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Result=[H|T]
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).
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replace_special_characters([],[]).
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replace_special_characters([H|T],[H2|T2]) :-
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(
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H==45 % '-'
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->
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H2=109; % 'm'
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(
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H==46
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->
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H2=100; % 'd'
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H2=H
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)
|
|
),
|
|
replace_special_characters(T,T2).
|