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Rename lib to library.
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src/library/ulm/ulmSets.Mod
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src/library/ulm/ulmSets.Mod
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(* Ulm's Oberon Library
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Copyright (C) 1989-1994 by University of Ulm, SAI, D-89069 Ulm, Germany
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----------------------------------------------------------------------------
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Ulm's Oberon Library is free software; you can redistribute it
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and/or modify it under the terms of the GNU Library General Public
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License as published by the Free Software Foundation; either version
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2 of the License, or (at your option) any later version.
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Ulm's Oberon Library is distributed in the hope that it will be
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useful, but WITHOUT ANY WARRANTY; without even the implied warranty
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of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Library General Public License for more details.
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You should have received a copy of the GNU Library General Public
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License along with this library; if not, write to the Free Software
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Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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----------------------------------------------------------------------------
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E-mail contact: oberon@mathematik.uni-ulm.de
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----------------------------------------------------------------------------
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$Id: Sets.om,v 1.3 1999/06/06 06:44:56 borchert Exp $
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----------------------------------------------------------------------------
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$Log: Sets.om,v $
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Revision 1.3 1999/06/06 06:44:56 borchert
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bug fix: CharSet was too small
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Revision 1.2 1995/03/16 16:25:33 borchert
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assertions of Assertions replaced by real assertions
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Revision 1.1 1994/02/22 20:10:14 borchert
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Initial revision
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----------------------------------------------------------------------------
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AFB 9/89
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----------------------------------------------------------------------------
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*)
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MODULE ulmSets;
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CONST
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setsize* = MAX(SET) + 1;
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TYPE
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CharSet* = ARRAY ORD(MAX(CHAR)) + 1 DIV setsize OF SET;
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PROCEDURE InitSet*(VAR set: ARRAY OF SET);
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VAR i: LONGINT;
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BEGIN
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i := 0;
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WHILE i < LEN(set) DO
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set[i] := {}; INC(i);
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END;
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END InitSet;
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PROCEDURE Complement*(VAR set: ARRAY OF SET);
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VAR i: LONGINT;
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BEGIN
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i := 0;
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WHILE i < LEN(set) DO
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set[i] := - set[i]; INC(i);
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END;
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END Complement;
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PROCEDURE In*(VAR set: ARRAY OF SET; i: LONGINT) : BOOLEAN;
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BEGIN
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RETURN (i MOD setsize) IN set[i DIV setsize]
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END In;
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PROCEDURE Incl*(VAR set: ARRAY OF SET; i: LONGINT);
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BEGIN
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INCL(set[i DIV setsize], i MOD setsize);
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END Incl;
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PROCEDURE Excl*(VAR set: ARRAY OF SET; i: LONGINT);
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BEGIN
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EXCL(set[i DIV setsize], i MOD setsize);
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END Excl;
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PROCEDURE CharIn*(VAR charset: CharSet; ch: CHAR) : BOOLEAN;
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BEGIN
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RETURN (ORD(ch) MOD setsize) IN charset[ORD(ch) DIV setsize]
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END CharIn;
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PROCEDURE InclChar*(VAR charset: CharSet; ch: CHAR);
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BEGIN
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INCL(charset[ORD(ch) DIV setsize], ORD(ch) MOD setsize);
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END InclChar;
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PROCEDURE ExclChar*(VAR charset: CharSet; ch: CHAR);
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BEGIN
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EXCL(charset[ORD(ch) DIV setsize], ORD(ch) MOD setsize);
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END ExclChar;
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PROCEDURE Intersection*(set1, set2: ARRAY OF SET; VAR result: ARRAY OF SET);
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VAR
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index: INTEGER;
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BEGIN
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ASSERT((LEN(result) = LEN(set1)) & (LEN(result) = LEN(set2)));
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index := 0;
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WHILE index < LEN(result) DO
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result[index] := set1[index] * set2[index];
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INC(index);
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END;
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END Intersection;
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PROCEDURE SymDifference*(set1, set2: ARRAY OF SET; VAR result: ARRAY OF SET);
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VAR
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index: INTEGER;
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BEGIN
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ASSERT((LEN(result) = LEN(set1)) & (LEN(result) = LEN(set2)));
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index := 0;
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WHILE index < LEN(result) DO
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result[index] := set1[index] / set2[index];
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INC(index);
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END;
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END SymDifference;
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PROCEDURE Union*(set1, set2: ARRAY OF SET; VAR result: ARRAY OF SET);
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VAR
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index: INTEGER;
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BEGIN
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ASSERT((LEN(result) = LEN(set1)) & (LEN(result) = LEN(set2)));
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index := 0;
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WHILE index < LEN(result) DO
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result[index] := set1[index] + set2[index];
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INC(index);
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END;
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END Union;
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PROCEDURE Difference*(set1, set2: ARRAY OF SET; VAR result: ARRAY OF SET);
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VAR
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index: INTEGER;
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BEGIN
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ASSERT((LEN(result) = LEN(set1)) & (LEN(result) = LEN(set2)));
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index := 0;
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WHILE index < LEN(result) DO
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result[index] := set1[index] - set2[index];
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INC(index);
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END;
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END Difference;
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PROCEDURE Equal*(set1, set2: ARRAY OF SET) : BOOLEAN;
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VAR
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index: INTEGER;
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BEGIN
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index := 0;
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WHILE (index < LEN(set1)) & (index < LEN(set2)) DO
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IF set1[index] # set2[index] THEN
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RETURN FALSE
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END;
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INC(index);
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END;
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WHILE index < LEN(set1) DO
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IF set1[index] # {} THEN
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RETURN FALSE
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END;
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INC(index);
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END;
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WHILE index < LEN(set2) DO
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IF set2[index] # {} THEN
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RETURN FALSE
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END;
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INC(index);
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END;
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RETURN TRUE
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END Equal;
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PROCEDURE Subset*(set1, set2: ARRAY OF SET) : BOOLEAN;
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VAR
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index: INTEGER;
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BEGIN
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index := 0;
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WHILE (index < LEN(set1)) & (index < LEN(set2)) DO
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IF set1[index] - set2[index] # {} THEN
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RETURN FALSE
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END;
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INC(index);
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END;
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WHILE index < LEN(set1) DO
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IF set1[index] # {} THEN
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RETURN FALSE
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END;
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INC(index);
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END;
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RETURN TRUE
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END Subset;
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PROCEDURE Card*(set: ARRAY OF SET) : INTEGER;
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VAR
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index: INTEGER;
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i: INTEGER;
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card: INTEGER;
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BEGIN
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card := 0;
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index := 0;
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WHILE index < LEN(set) DO
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i := 0;
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WHILE i <= MAX(SET) DO
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IF i IN set[index] THEN
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INC(card);
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END;
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INC(i);
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END;
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INC(index);
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END;
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RETURN card
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END Card;
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END ulmSets.
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