140 lines
3.0 KiB
Plaintext
140 lines
3.0 KiB
Plaintext
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%
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%% Thom Fruehwirth ECRC 1991-1993
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%% 910528 started boolean,and,or constraints
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%% 910904 added xor,neg constraints
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%% 911120 added imp constraint
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%% 931110 ported to new release
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%% 931111 added card constraint
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%% 961107 Christian Holzbaur, SICStus mods
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%%
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%% ported to hProlog by Tom Schrijvers June 2003
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:- module(fulladder,[main/0,main/1]).
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:- use_module(library(chr)).
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:- chr_constraint and/3, or/3, xor/3, neg/2.
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:- use_module(library(lists)).
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%% and/3 specification
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%%and(0,0,0).
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%%and(0,1,0).
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%%and(1,0,0).
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%%and(1,1,1).
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and(0,X,Y) <=> Y=0.
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and(X,0,Y) <=> Y=0.
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and(1,X,Y) <=> Y=X.
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and(X,1,Y) <=> Y=X.
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and(X,Y,1) <=> X=1,Y=1.
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and(X,X,Z) <=> X=Z.
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and(X,Y,A) \ and(X,Y,B) <=> A=B, chr_dummy.
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and(X,Y,A) \ and(Y,X,B) <=> A=B, chr_dummy.
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%% or/3 specification
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%%or(0,0,0).
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%%or(0,1,1).
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%%or(1,0,1).
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%%or(1,1,1).
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or(0,X,Y) <=> Y=X.
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or(X,0,Y) <=> Y=X.
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or(X,Y,0) <=> X=0,Y=0.
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or(1,X,Y) <=> Y=1.
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or(X,1,Y) <=> Y=1.
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or(X,X,Z) <=> X=Z.
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or(X,Y,A) \ or(X,Y,B) <=> A=B, chr_dummy.
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or(X,Y,A) \ or(Y,X,B) <=> A=B, chr_dummy.
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%% xor/3 specification
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%%xor(0,0,0).
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%%xor(0,1,1).
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%%xor(1,0,1).
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%%xor(1,1,0).
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xor(0,X,Y) <=> X=Y.
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xor(X,0,Y) <=> X=Y.
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xor(X,Y,0) <=> X=Y.
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xor(1,X,Y) <=> neg(X,Y).
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xor(X,1,Y) <=> neg(X,Y).
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xor(X,Y,1) <=> neg(X,Y).
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xor(X,X,Y) <=> Y=0.
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xor(X,Y,X) <=> Y=0.
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xor(Y,X,X) <=> Y=0.
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xor(X,Y,A) \ xor(X,Y,B) <=> A=B, chr_dummy.
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xor(X,Y,A) \ xor(Y,X,B) <=> A=B, chr_dummy.
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%% neg/2 specification
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%%neg(0,1).
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%%neg(1,0).
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neg(0,X) <=> X=1.
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neg(X,0) <=> X=1.
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neg(1,X) <=> X=0.
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neg(X,1) <=> X=0.
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neg(X,X) <=> fail.
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neg(X,Y) \ neg(Y,Z) <=> X=Z, chr_dummy.
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neg(X,Y) \ neg(Z,Y) <=> X=Z, chr_dummy.
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neg(Y,X) \ neg(Y,Z) <=> X=Z, chr_dummy.
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%% Interaction with other boolean constraints
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neg(X,Y) \ and(X,Y,Z) <=> Z=0, chr_dummy.
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neg(Y,X) \ and(X,Y,Z) <=> Z=0, chr_dummy.
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neg(X,Z) , and(X,Y,Z) <=> X=1,Y=0,Z=0.
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neg(Z,X) , and(X,Y,Z) <=> X=1,Y=0,Z=0.
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neg(Y,Z) , and(X,Y,Z) <=> X=0,Y=1,Z=0.
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neg(Z,Y) , and(X,Y,Z) <=> X=0,Y=1,Z=0.
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neg(X,Y) \ or(X,Y,Z) <=> Z=1, chr_dummy.
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neg(Y,X) \ or(X,Y,Z) <=> Z=1, chr_dummy.
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neg(X,Z) , or(X,Y,Z) <=> X=0,Y=1,Z=1.
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neg(Z,X) , or(X,Y,Z) <=> X=0,Y=1,Z=1.
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neg(Y,Z) , or(X,Y,Z) <=> X=1,Y=0,Z=1.
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neg(Z,Y) , or(X,Y,Z) <=> X=1,Y=0,Z=1.
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neg(X,Y) \ xor(X,Y,Z) <=> Z=1, chr_dummy.
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neg(Y,X) \ xor(X,Y,Z) <=> Z=1, chr_dummy.
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neg(X,Z) \ xor(X,Y,Z) <=> Y=1, chr_dummy.
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neg(Z,X) \ xor(X,Y,Z) <=> Y=1, chr_dummy.
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neg(Y,Z) \ xor(X,Y,Z) <=> X=1, chr_dummy.
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neg(Z,Y) \ xor(X,Y,Z) <=> X=1, chr_dummy.
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/* end of handler bool */
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half_adder(X,Y,S,C) :-
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xor(X,Y,S),
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and(X,Y,C).
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full_adder(X,Y,Ci,S,Co) :-
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half_adder(X,Y,S1,Co1),
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half_adder(Ci,S1,S,Co2),
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or(Co1,Co2,Co).
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main :-
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main(6000).
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main(N) :-
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cputime(X),
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adder(N),
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cputime(Now),
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Time is Now - X,
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write(bench(bool ,N,Time,0,hprolog)),write('.'),nl.
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adder(N) :-
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length(Ys,N),
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add(N,Ys).
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add(N,[Y|Ys]) :-
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half_adder(1,Y,0,C),
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add0(Ys,C).
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add0([],1).
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add0([Y|Ys],C) :-
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full_adder(0,Y,C,1,NC),
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add1(Ys,NC).
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add1([],0).
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add1([Y|Ys],C) :-
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full_adder(1,Y,C,0,NC),
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add0(Ys,NC).
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