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UNLESS REQUIRED BY LAW, NO COPYRIGHT % HOLDER OR CONTRIBUTOR WILL BE LIABLE FOR ANY DIRECT, INDIRECT, % INCIDENTAL, OR CONSEQUENTIAL DAMAGES ARISING IN ANY WAY OUT OF THE USE % OF THE PACKAGE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% :- module(intervals, [intervals_merge/3, intervals_disjoin/3, intervals_disjoin/4, intervals_partition/2, intervals_encode/2]). :- style_check(all). :- yap_flag(unknown,error). :- use_module(library(lists), [member/2, reverse/2, select/3]). %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % intervals_merge(+Interval1,+Interval2,-ResultingInterval) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 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= Result=interval(X,Y); Result=none ). intervals_merge_above(interval(Y1,Y2),X,Result):- number(Y1), number(Y2), ( X= Result=interval(Y1,Y2); ( X= Result=interval(X,Y2); Result=none ) ). intervals_merge_below(all,X,below(X)). intervals_merge_below(none,_,none). intervals_merge_below(above(Y),X,Result) :- number(Y), ( Y= 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 ) ). 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 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= ( Y2= Result=interval(Y1,Y2); Result=interval(Y1,X2) ); Result=none ). %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% select_all([],List,List). select_all([H|T],List,Remainder) :- once(select(H,List,TMP)), select_all(T,TMP,Remainder). %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 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= 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= X2 is 2*X; X2 is -1000 ), intervals_encode(interval(X2,X),Atom). intervals_encode(above(X),Atom) :- ( X > 1000 -> X2 is 2*X; X2 is 1000 ), 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) :- ( X==48 % 48 = '0' -> remove_prefix_zeros(T,Result); Result=[X|T] ). remove_prefix_dot([],[]). remove_prefix_dot([X|T],Result) :- ( X==46 % 46 = '.' -> Result=T; Result=[X|T] ). fix_special_cases([],[48]). fix_special_cases([H|T],Result) :- ( [H|T] == [48,45] % ='0-' -> Result=[48]; Result=[H|T] ). 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).