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%%% -*- Mode: Prolog; -*-
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
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% $Date: 2011-11-28 14:41:26 +0100 (Mon, 28 Nov 2011) $
% $Revision: 6764 $
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%
% This file is part of ProbLog
% http://dtai.cs.kuleuven.be/problog
%
% ProbLog was developed at Katholieke Universiteit Leuven
%
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% Copyright 2008, 2009, 2010
% Katholieke Universiteit Leuven
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%
% Main authors of this file:
% Bernd Gutmann
%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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:- module(intervals, [intervals_merge/3,
intervals_disjoin/3,
intervals_disjoin/4,
intervals_partition/2,
intervals_encode/2]).
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:- style_check(all).
:- yap_flag(unknown,error).
:- 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).
intervals_merge(none,_,none).
intervals_merge(above(X),Other,Result) :-
number(X),
intervals_merge_above(Other,X,Result).
intervals_merge(below(X),Other,Result) :-
number(X),
intervals_merge_below(Other,X,Result).
intervals_merge(interval(X1,X2),Other,Result) :-
number(X1),
number(X2),
intervals_merge_interval(Other,X1,X2,Result).
intervals_merge_above(all,X,above(X)).
intervals_merge_above(none,_,none).
intervals_merge_above(above(Y),X,above(Z)) :-
number(Y),
Z is max(X,Y).
intervals_merge_above(below(Y),X,Result) :-
number(Y),
(
X=<Y
->
Result=interval(X,Y);
Result=none
).
intervals_merge_above(interval(Y1,Y2),X,Result):-
number(Y1),
number(Y2),
(
X=<Y1
->
Result=interval(Y1,Y2);
(
X=<Y2
->
Result=interval(X,Y2);
Result=none
)
).
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intervals_merge_below(all,X,below(X)).
intervals_merge_below(none,_,none).
intervals_merge_below(above(Y),X,Result) :-
number(Y),
(
Y=<X
->
Result=interval(Y,X);
Result=none
).
intervals_merge_below(below(Y),X,below(Z)) :-
number(Y),
Z is min(X,Y).
intervals_merge_below(interval(Y1,Y2),X,Result) :-
number(Y1),
number(Y2),
(
X>=Y2
->
Result=interval(Y1,Y2);
(
X>=Y1
->
Result=interval(Y1,X);
Result=none
)
).
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intervals_merge_interval(all,X1,X2,interval(X1,X2)).
intervals_merge_interval(none,_,_,none).
intervals_merge_interval(above(X),Y1,Y2,Result) :-
number(X),
intervals_merge_above(interval(Y1,Y2),X,Result).
intervals_merge_interval(below(X),Y1,Y2,Result) :-
number(X),
intervals_merge_below(interval(Y1,Y2),X,Result).
intervals_merge_interval(interval(X1,X2),Y1,Y2,Result) :-
number(X1),
number(X2),
(
X1<Y1
->
intervals_merge_interval_intern(X1,X2,Y1,Y2,Result);
intervals_merge_interval_intern(Y1,Y2,X1,X2,Result)
).
intervals_merge_interval_intern(_X1,X2,Y1,Y2,Result) :-
(
Y1=<X2
->
(
Y2=<X2
->
Result=interval(Y1,Y2);
Result=interval(Y1,X2)
);
Result=none
).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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select_all([],List,List).
select_all([H|T],List,Remainder) :-
once(select(H,List,TMP)),
select_all(T,TMP,Remainder).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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intervals_disjoin(X,P,In,Out) :-
disjoin_intern(X,P,In),
select_all(In,P,Out).
intervals_disjoin(X,P,In) :-
disjoin_intern(X,P,In).
disjoin_intern(below(X),P,In) :-
findall((interval(A,B),Tail),(member((interval(A,B),Tail),P),B=<X),Tmp),
(
(member((below(Y),Tail),P),Y=<X)
->
In=[(below(Y),Tail)|Tmp];
In=Tmp
).
disjoin_intern(above(X),P,In) :-
findall((interval(A,B),Tail),(member((interval(A,B),Tail),P),A>=X),Tmp),
(
(member((above(Y),Tail),P),Y>=X)
->
In=[(above(Y),Tail)|Tmp];
In=Tmp
).
disjoin_intern(interval(X,Y),P,In) :-
findall((interval(A,B),Tail),(member((interval(A,B),Tail),P),A>=X,B=<Y),In).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% partitions a list of intervals into disjoined intervals
% together with their prefix
%
%
% ?- intervals_partition([below(10),above(5)],X).
% X = [(below(5.0),[]),
% (interval(5.0,10.0),[below(5.0)]),
% (above(10.0),[interval(5.0,10.0),below(5.0)])]
%
%
% intervals_partition(+List,-List)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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intervals_partition([],[]).
intervals_partition([X|T],[(below(A), [])|T2]) :-
once(extract_points([X|T],[],[A|PT])),
to_interval(PT,A,[below(A)],T2).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% extracts from list of intervals all relevant constants
%
% ?- intervals:extract_points([below(10),above(5)],[],L).
% L = [5.0,10.0] ?
%
% extract_points(+List, +List, -List)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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extract_points([],X,Y) :-
sort(X,Y).
extract_points([below(A)|T],X,Y) :-
A2 is float(A),
extract_points(T,[A2|X],Y).
extract_points([above(A)|T],X,Y) :-
A2 is float(A),
extract_points(T,[A2|X],Y).
extract_points([interval(A,B)|T],X,Y) :-
A2 is float(A),
B2 is float(B),
extract_points(T,[A2,B2|X],Y).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% transforms a sorted list of constants into a list of
% intervals together with their prefixes
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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to_interval([],A,Tail,[(above(A),Tail)]).
to_interval([B|T],A,Tail,[(interval(A,B),Tail)|T2]) :-
to_interval(T,B,[interval(A,B)|Tail],T2).
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% encodes an interval as an atom
%
% ?- intervals_encode(below(42),X).
% X = lm1000h42
% ?- intervals_encode(above(23),X).
% X = l23h1000
% ?- intervals_encode(interval(-2.3,4.2),X).
% X = lm2d3h4d2 ?
%
% intervals_encode(+Interval,-Atom)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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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;
X2 is -1000
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),
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intervals_encode(interval(X2,X),Atom).
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;
X2 is 1000
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),
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intervals_encode(interval(X,X2),Atom).
intervals_encode(interval(Low,High),Atom) :-
once(my_number_atom(Low,LowA)),
once(my_number_atom(High,HighA)),
atomic_concat([l,LowA,h,HighA],Atom).
my_number_atom(Number,Atom) :-
% make float
NumberF is Number+0.0,
number_codes(NumberF,XC),
reverse(XC,A),
remove_prefix_zeros(A,B),
remove_prefix_dot(B,C),
fix_special_cases(C,D),
reverse(D,DC),
replace_special_characters(DC,DC_Final),
atom_codes(Atom,DC_Final).
remove_prefix_zeros([],[]).
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);
Result=[X|T]
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).
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remove_prefix_dot([],[]).
remove_prefix_dot([X|T],Result) :-
(
X==46 % 46 = '.'
->
Result=T;
Result=[X|T]
).
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fix_special_cases([],[48]).
fix_special_cases([H|T],Result) :-
(
[H|T] == [48,45] % ='0-'
->
Result=[48];
Result=[H|T]
).
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replace_special_characters([],[]).
replace_special_characters([H|T],[H2|T2]) :-
(
H==45 % '-'
->
H2=109; % 'm'
(
H==46
->
H2=100; % 'd'
H2=H
)
),
replace_special_characters(T,T2).