HELP: setwise-xor
{ $values
- { "seq0" sequence } { "seq1" sequence }
+ { "seq1" sequence } { "seq2" sequence }
{ "set" set }
}
{ $description "Converts the sequences to sets and takes the element-wise " { $link xor } ". Outputs elements that are in either set but not in both." }
}
{ $notes "Known as setxor1d in numpy." } ;
+HELP: symmetric-diff
+{ $values { "set1" set } { "set2" set } { "set" set } }
+{ $description "Find the symmetric difference of two sets. Outputs a set containing elements that in either set but not in both." } ;
+
+HELP: proper-subset?
+{ $values { "set1" set } { "set2" set } { "?" boolean } }
+{ $description "Find whether " { $snippet "set1" } " is a proper subset of " { $snippet "set2" } ". Returns true if " { $snippet "set1" } " is a subset of " { $snippet "set2" } " but " { $snippet "set2" } " is not a subset of " { $snippet "set1" } "." } ;
+
ARTICLE: "sets.extras" "Extra sets words"
"The " { $vocab-link "sets.extras" } " vocabulary is a collection of words related to sets."
$nl
USING: tools.test sets.extras ;
IN: sets.extras.tests
-{ { } }
-[ { } { } setwise-xor ] unit-test
+{ { } } [ { } { } setwise-xor ] unit-test
+{ { 1 } } [ { 1 } { } setwise-xor ] unit-test
+{ { 1 } } [ { } { 1 } setwise-xor ] unit-test
+{ { } } [ { 1 } { 1 } setwise-xor ] unit-test
+{ { 1 4 5 7 } } [ { 1 2 3 2 4 } { 2 3 5 7 5 } setwise-xor ] unit-test
-{ { 1 } }
-[ { 1 } { } setwise-xor ] unit-test
+{ { } } [ { } { } symmetric-diff ] unit-test
+{ { 1 2 3 } } [ { 1 2 3 } { } symmetric-diff ] unit-test
+{ { 1 2 3 } } [ { } { 1 2 3 } symmetric-diff ] unit-test
+{ { 1 2 4 5 } } [ { 1 2 3 } { 3 4 5 } symmetric-diff ] unit-test
-{ { 1 } }
-[ { } { 1 } setwise-xor ] unit-test
-
-{ { } }
-[ { 1 } { 1 } setwise-xor ] unit-test
-
-{ { 1 4 5 7 } }
-[ { 1 2 3 2 4 } { 2 3 5 7 5 } setwise-xor ] unit-test
+{ f } [ { } { } proper-subset? ] unit-test
+{ f } [ { 1 2 } { 1 2 } proper-subset? ] unit-test
+{ f } [ { 1 2 3 } { 1 2 } proper-subset? ] unit-test
+{ t } [ { 1 2 } { 1 2 3 } proper-subset? ] unit-test
USING: kernel sequences sets ;
IN: sets.extras
-: setwise-xor ( seq0 seq1 -- set )
+: setwise-xor ( seq1 seq2 -- set )
[ append members ] [ intersect ] 2bi diff ;
+
+: symmetric-diff ( set1 set2 -- set )
+ [ union ] [ intersect ] 2bi diff ;
+
+: proper-subset? ( set1 set2 -- ? )
+ 2dup subset? [ swap subset? not ] [ 2drop f ] if ;