1/* Part of SWI-Prolog 2 3 WWW: http://www.swi-prolog.org 4 Copyright (c) 2021, SWI-Prolog Solutions b.v. 5 All rights reserved. 6 7 Redistribution and use in source and binary forms, with or without 8 modification, are permitted provided that the following conditions 9 are met: 10 11 1. Redistributions of source code must retain the above copyright 12 notice, this list of conditions and the following disclaimer. 13 14 2. Redistributions in binary form must reproduce the above copyright 15 notice, this list of conditions and the following disclaimer in 16 the documentation and/or other materials provided with the 17 distribution. 18 19 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 20 "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 21 LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS 22 FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 23 COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, 24 INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, 25 BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 26 LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER 27 CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 28 LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN 29 ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE 30 POSSIBILITY OF SUCH DAMAGE. 31*/ 32 33:- module(sets, 34 [ add_element/3, % +Element, +Set1, -Set2 35 del_element/3, % +Element, +Set1, -Set2 36 disjoint/2, % +Set1, +Set2 37 intersect/2, % +Set1, +Set2 38 set_order/3, % +Xs, +Ys, -R 39 seteq/2, % +Set1, +Set2 40 list_to_set/2, % +List, -Set 41 disjoint_union/3, % +Set1, +Set2, -Union 42 union/4 % +Set1, +Set2, -Union, -Difference 43 ]). 44:- reexport(library(lists), 45 [ is_set/1, 46 subset/2, 47 intersection/3, 48 subtract/3, 49 union/3 50 ]). 51:- use_module(library(lists), [selectchk/3]).
68add_element(Element, Set1, Set2) :- 69 ( memberchk(Element, Set1) 70 -> Set2 = Set1 71 ; Set2 = [Element|Set1] 72 ). 73 74del_element(Element, Set1, Set2) :- 75 ( selectchk(Element, Set1, Set2) 76 -> true 77 ; Set2 = Set1 78 ). 79 80disjoint(Set1, Set2) :- 81 intersection(Set1, Set2, []). 82 83intersect(Set1, Set2) :- 84 intersection(Set1, Set2, Intersection), 85 Intersection \= []. 86 87set_order(Xs, Ys, R) :- 88 ( subset(Xs, Ys) 89 -> ( subset(Ys, Xs) 90 -> R = (=) 91 ; R = (<) 92 ) 93 ; ( subset(Ys, Xs) 94 -> R = (>) 95 ; fail 96 ) 97 ). 98 99seteq(Set1, Set2) :- set_order(Set1, Set2, =).
110list_to_set([], []). 111list_to_set([X|Tail], Set) :- 112 ( memberchk(X, Tail) 113 -> Set = SetTail 114 ; Set = [X|SetTail] 115 ), 116 list_to_set(Tail, SetTail). 117 118disjoint_union(Set1, Set2, Union) :- 119 disjoint(Set1, Set2), 120 append(Set1, Set2, Union). 121 122union(Set1, Set2, Union, Difference) :- 123 union(Set1, Set2, Union), 124 subtract(Set1, Set2, Difference)
SICStus 4
library(sets)
.