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functional-sets's Introduction

Functional Sets

In this challenge you'll produce a Set. We're defining the Set as "a function that accepts a number and returns a boolean." Or, in a fancier looking notation:

type Set = Function(Integer) => Boolean

Constraints

Your Sets will only contain integers.

Composability

As you produce functions, consider if they can be combined to implement others. In other words, can you implement some function in terms of another? Look for and take advantage of these opportunities when appropriate.

Tests

You'll need to write tests for each method you implement. You can run your tests with node sets_test.js.

Release 1, Basic Operations

Define and test the following methods stubbed out in sets.js:

  • singletonSet
  • union
  • intersect
  • diff
  • filter

Release 2, Operating on Collections

You have the basic set operations, now we want operations that can operate on the elements in the sets.

  • forall
  • exists
  • map
  • toString

Release 3, Bounded

You'll notice these methods only operate on bounded integers. Why is this necessary? Describe your thoughts in note.md.

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