As with all problems, it’s best to start off writing an algorithm:
Concatenate versions of the arrays, where each array is filtered to contain those elements which no array other than the current one contains
Then just write that down in JS:
function sym() {
var arrays = [].slice.apply(arguments);
return [].concat.apply([], // concatenate
arrays.map( // versions of the arrays
function(array, i) { // where each array
return array.filter( // is filtered to contain
function(elt) { // those elements which
return !arrays.some( // no array
function(a, j) { //
return i !== j // other than the current one
&& a.indexOf(elt) >= 0 // contains
;
}
);
}
);
}
)
);
}
Non-commented version, written more succinctly using ES6:
function sym(...arrays) {
return [].concat(arrays .
map((array, i) => array .
filter(elt => !arrays .
some((a, j) => i !== j && a.indexOf(elt) >= 0))));
}