How to calculate intersection of multiple arrays in JavaScript? And what does [equals: function] mean?

Question

You could just use Array#reduce with Array#filter and Array#includes.

var array1 = ["Lorem", "ipsum", "dolor"],
    array2 = ["Lorem", "ipsum", "quick", "brown", "foo"],
    array3 = ["Jumps", "Over", "Lazy", "Lorem"],
    array4 = [1337, 420, 666, "Lorem"],
    data = [array1, array2, array3, array4],
    result = data.reduce((a, b) => a.filter(c => b.includes(c)));

console.log(result);

I wrote a helper function for this:

function intersection() {
  var result = [];
  var lists;

  if(arguments.length === 1) {
    lists = arguments[0];
  } else {
    lists = arguments;
  }

  for(var i = 0; i < lists.length; i++) {
    var currentList = lists[i];
    for(var y = 0; y < currentList.length; y++) {
        var currentValue = currentList[y];
      if(result.indexOf(currentValue) === -1) {
        var existsInAll = true;
        for(var x = 0; x < lists.length; x++) {
          if(lists[x].indexOf(currentValue) === -1) {
            existsInAll = false;
            break;
          }
        }
        if(existsInAll) {
          result.push(currentValue);
        }
      }
    }
  }
  return result;
}

Use it like this:

intersection(array1, array2, array3, array4); //["Lorem"]

Or like this:

intersection([array1, array2, array3, array4]); //["Lorem"]

Full code here

UPDATE 1

A slightly smaller implementation here using filter

This can be done pretty succinctly if you fancy employing some recursion and the new ES2015 syntax:

const array1 = ["Lorem", "ipsum", "dolor"];
const array2 = ["Lorem", "ipsum", "quick", "brown", "foo"];
const array3 = ["Jumps", "Over", "Lazy", "Lorem"];
const array4 = [1337, 420, 666, "Lorem"];

const arrayOfArrays = [[4234, 2323, 43], [1323, 43, 1313], [23, 34, 43]];

// Filter xs where, for a given x, there exists some y in ys where y === x.
const intersect2 = (xs,ys) => xs.filter(x => ys.some(y => y === x));

// When there is only one array left, return it (the termination condition
// of the recursion). Otherwise first find the intersection of the first
// two arrays (intersect2), then repeat the whole process for that result
// combined with the remaining arrays (intersect). Thus the number of arrays
// passed as arguments to intersect is reduced by one each time, until
// there is only one array remaining.
const intersect = (xs,ys,...rest) => ys === undefined ? xs : intersect(intersect2(xs,ys),...rest);

console.log(intersect(array1, array2, array3, array4));
console.log(intersect(...arrayOfArrays));

// Alternatively, in old money,

var intersect2ES5 = function (xs, ys) {
    return xs.filter(function (x) {
        return ys.some(function (y) {
            return y === x;
        });
    });
};
    
// Changed slightly from above, to take a single array of arrays,
// which matches the underscore.js approach in the Q., and is better anyhow.
var intersectES5 = function (zss) {
    var xs = zss[0];
    var ys = zss[1];
    var rest = zss.slice(2);
    if (ys === undefined) {
        return xs;
    }
    return intersectES5([intersect2ES5(xs, ys)].concat(rest));
};

console.log(intersectES5([array1, array2, array3, array4]));
console.log(intersectES5(arrayOfArrays));

Using a combination of ideas from several contributors and the latest ES6 goodness, I arrived at

const array1 = ["Lorem", "ipsum", "dolor"];
const array2 = ["Lorem", "ipsum", "quick", "brown", "foo"];
const array3 = ["Jumps", "Over", "Lazy", "Lorem"];
const array4 = [1337, 420, 666, "Lorem"];

Array.prototype.intersect = function intersect(a, ...b) {
    const c = function (a, b) {
        b = new Set(b);
        return a.filter((a) => b.has(a));
    };
    return undefined === a ? this : intersect.call(c(this, a), ...b);
};

console.log(array1.intersect(array2, array3, array4));
// ["Lorem"]

For anyone confused by this in the future,

_.intersection.apply(_, arrayOfArrays)

Is in fact the most elegant way to do this. But:

var arrayOfArrays = [[43, 34343, 23232], [43, 314159, 343], [43, 243]];
arrayOfArrays = _.intersection.apply(_, arrayOfArrays);

Will not work! Must do

var differentVariableName = _.intersection.apply(_,arrayOfArrays);