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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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{$mode objfpc}
unit ternarylogic;
interface
type
{ ternary type, balanced }
trit = (tFalse=-1, tMaybe=0, tTrue=1);
{ ternary operators }
{ equivalence = multiplication }
operator * (const a,b:trit):trit;
operator and (const a,b:trit):trit;inline;
operator or (const a,b:trit):trit;inline;
operator not (const a:trit):trit;inline;
operator xor (const a,b:trit):trit;
{ imp ==>}
operator >< (const a,b:trit):trit;
implementation
operator and (const a,b:trit):trit;inline;
const lookupAnd:array[trit,trit] of trit =
((tFalse,tFalse,tFalse),
(tFalse,tMaybe,tMaybe),
(tFalse,tMaybe,tTrue));
begin
Result:= LookupAnd[a,b];
end;
operator or (const a,b:trit):trit;inline;
const lookupOr:array[trit,trit] of trit =
((tFalse,tMaybe,tTrue),
(tMaybe,tMaybe,tTrue),
(tTrue,tTrue,tTrue));
begin
Result := LookUpOr[a,b];
end;
operator not (const a:trit):trit;inline;
const LookupNot:array[trit] of trit =(tTrue,tMaybe,tFalse);
begin
Result:= LookUpNot[a];
end;
operator xor (const a,b:trit):trit;
const LookupXor:array[trit,trit] of trit =
((tFalse,tMaybe,tTrue),
(tMaybe,tMaybe,tMaybe),
(tTrue,tMaybe,tFalse));
begin
Result := LookupXor[a,b];
end;
operator * (const a,b:trit):trit;
begin
result := not (a xor b);
end;
{ imp ==>}
operator >< (const a,b:trit):trit;
begin
result := not(a) or b;
end;
end.

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program ternarytests;
{$mode objfpc}
uses
ternarylogic;
begin
writeln(' a AND b');
writeln('F':7,'U':7, 'T':7);
writeln('F|',tFalse and tFalse:7,tFalse and tMaybe:7,tFalse and tTrue:7);
writeln('U|',tMaybe and tFalse:7,tMaybe and tMaybe:7,tMaybe and tTrue:7);
writeln('T|',tTrue and tFalse:7,tTrue and tMaybe:7,tTrue and tTrue:7);
writeln;
writeln(' a OR b');
writeln('F':7,'U':7, 'T':7);
writeln('F|',tFalse or tFalse:7,tFalse or tMaybe:7,tFalse or tTrue:7);
writeln('U|',tMaybe or tFalse:7,tMaybe or tMaybe:7,tMaybe or tTrue:7);
writeln('T|',tTrue or tFalse:7,tTrue or tMaybe:7,tTrue or tTrue:7);
writeln;
writeln(' NOT a');
writeln('F|',not tFalse:7);
writeln('U|',not tMaybe:7);
writeln('T|',not tTrue:7);
writeln;
writeln(' a XOR b');
writeln('F':7,'U':7, 'T':7);
writeln('F|',tFalse xor tFalse:7,tFalse xor tMaybe:7,tFalse xor tTrue:7);
writeln('U|',tMaybe xor tFalse:7,tMaybe xor tMaybe:7,tMaybe xor tTrue:7);
writeln('T|',tTrue xor tFalse:7,tTrue xor tMaybe:7,tTrue xor tTrue:7);
writeln;
writeln('equality/equivalence and multiplication');
writeln('F':7,'U':7, 'T':7);
writeln('F|', tFalse * tFalse:7,tFalse * tMaybe:7, tFalse * tTrue:7);
writeln('U|', tMaybe * tFalse:7,tMaybe * tMaybe:7,tMaybe * tTrue:7);
writeln('T|', tTrue * tFalse:7, tTrue * tMaybe:7, tTrue * tTrue:7);
writeln;
writeln('IMP. a.k.a. IfThen -> not(a) or b');
writeln('F':7,'U':7, 'T':7);
writeln('T|',tTrue >< tTrue:7,tTrue >< tMaybe:7,tTrue >< tFalse:7);
writeln('U|',tMaybe >< tTrue:7,tMaybe >< tMaybe:7,tMaybe >< tFalse:7);
writeln('F|',tFalse >< tTrue:7, tFalse >< tMaybe:7,tFalse >< tFalse:7);
writeln;
end.