diff --git a/.eslintrc b/.eslintrc
index 45f5cca..f812d65 100644
--- a/.eslintrc
+++ b/.eslintrc
@@ -20,7 +20,7 @@
 
   rules: {
     // Best Practices
-    accessor-pairs: error,
+    accessor-pairs: off,
     array-callback-return: error,
     block-scoped-var: error,
     class-methods-use-this: off,
@@ -66,7 +66,8 @@
     no-octal-escape: error,
     no-param-reassign: off,
     no-proto: error,
-    no-redeclare: error,
+    no-redeclare: off,
+    "@typescript-eslint/no-redeclare": ["error"],
     no-restricted-properties: error,
     no-return-assign: error,
     no-return-await: error,
diff --git a/asynciterator.ts b/asynciterator.ts
index 50a429e..102936d 100644
--- a/asynciterator.ts
+++ b/asynciterator.ts
@@ -25,10 +25,6 @@ export function setTaskScheduler(scheduler: TaskScheduler): void {
   taskScheduler = scheduler;
 }
 
-// Returns a function that calls `fn` with `self` as `this` pointer. */
-function bind<T extends Function>(fn: T, self?: object): T {
-  return self ? fn.bind(self) : fn;
-}
 
 /**
   ID of the INIT state.
@@ -324,7 +320,7 @@ export class AsyncIterator<T> extends EventEmitter {
     const items: T[] = [];
     const limit = typeof options?.limit === 'number' ? options.limit : Infinity;
 
-    return limit <= 0 ? Promise.resolve(items) : new Promise<T[]>((resolve, reject) => {
+    return this.ended || limit <= 0 ? Promise.resolve(items) : new Promise<T[]>((resolve, reject) => {
       // Collect and return all items up to the limit
       const resolveItems = () => resolve(items);
       const pushItem = (item: T) => {
@@ -868,7 +864,7 @@ export class MappingIterator<S, D = S> extends AsyncIterator<D> {
 // Validates an AsyncIterator for use as a source within another AsyncIterator
 function ensureSourceAvailable<S>(source?: AsyncIterator<S>, allowDestination = false) {
   if (!source || !isFunction(source.read) || !isFunction(source.on))
-    throw new Error(`Invalid source: ${source}`);
+    throw new TypeError(`Invalid source: ${source}`);
   if (!allowDestination && (source as any)._destination)
     throw new Error('The source already has a destination');
   return source as InternalSource<S>;
@@ -1175,8 +1171,7 @@ export class TransformIterator<S, D = S> extends BufferedIterator<D> {
     @param {module:asynciterator.AsyncIterator} [options.source] The source this iterator generates items from
   */
   constructor(source?: SourceExpression<S>,
-              options: TransformIteratorOptions<S> =
-                source as TransformIteratorOptions<S> || {}) {
+              options: TransformIteratorOptions<S> = source as TransformIteratorOptions<S> || {}) {
     super(options);
 
     // Shift parameters if needed
@@ -1208,6 +1203,10 @@ export class TransformIterator<S, D = S> extends BufferedIterator<D> {
   }
 
   set source(value: AsyncIterator<S> | undefined) {
+    // Do not change sources if the iterator is already done
+    if (this.done)
+      return;
+
     // Validate and set source
     const source = this._source = this._validateSource(value);
     source._destination = this;
@@ -1789,6 +1788,10 @@ export class ClonedIterator<T> extends TransformIterator<T> {
   }
 
   set source(value: AsyncIterator<T> | undefined) {
+    // Do not change sources if the iterator is already done
+    if (this.done)
+      return;
+
     // Validate and set the source
     const source = this._source = this._validateSource(value);
     // Create a history reader for the source if none already existed
@@ -1981,23 +1984,144 @@ class HistoryReader<T> {
   }
 }
 
+/**
+ * An iterator that takes a variety of iterable objects as a source.
+ */
+export class WrappingIterator<T> extends AsyncIterator<T> {
+  protected _source: InternalSource<T> | null = null;
+
+  constructor(source?: MaybePromise<IterableSource<T>>) {
+    super();
+
+    // If promise, set up a temporary source and replace when ready
+    if (isPromise(source)) {
+      this._source = new AsyncIterator() as any;
+      source.then(value => {
+        this._source = null;
+        this.source = value;
+      }).catch(error => this.emit('error', error));
+    }
+    // Otherwise, set the source synchronously
+    else if (source) {
+      this.source = source;
+    }
+  }
+
+  set source(value: IterableSource<T>) {
+    let source: InternalSource<T> = value as any;
+    // Do not change sources if the iterator is already done
+    if (this.done)
+      return;
+    if (this._source !== null)
+      throw new Error('The source cannot be changed after it has been set');
+
+    // Process an iterable source
+    if (isIterable(source))
+      source = source[Symbol.iterator]() as any;
+    // Process an iterator source
+    if (isIterator<T>(source)) {
+      let iterator: Iterator<T> | null = source;
+      source = new EventEmitter() as any;
+      source.read = (): T | null => {
+        if (iterator !== null) {
+          // Skip any null values inside of the iterator
+          let next: IteratorResult<T>;
+          while (!(next = iterator.next()).done) {
+            if (next.value !== null)
+              return next.value;
+          }
+          // No remaining values, so stop iterating
+          iterator = null;
+          this.close();
+        }
+        return null;
+      };
+    }
+    // Process any other readable source
+    else {
+      source = ensureSourceAvailable(source);
+    }
+
+    // Set up event handling
+    source._destination = this;
+    source.on('end', destinationClose);
+    source.on('error', destinationEmitError);
+    source.on('readable', destinationSetReadable);
+
+    // Enable reading from source
+    this._source = source;
+    this.readable = source.readable !== false;
+  }
+
+  read(): T | null {
+    if (this._source !== null && this._source.readable !== false) {
+      const item = this._source.read();
+      if (item !== null)
+        return item;
+      this.readable = false;
+    }
+    return null;
+  }
+
+  protected _end(destroy: boolean = false) {
+    super._end(destroy);
+    // Clean up event handlers
+    if (this._source !== null) {
+      this._source.removeListener('end', destinationClose);
+      this._source.removeListener('error', destinationEmitError);
+      this._source.removeListener('readable', destinationSetReadable);
+      delete this._source._destination;
+      this._source = null;
+    }
+  }
+}
+
+
 /**
   Creates an iterator that wraps around a given iterator or readable stream.
   Use this to convert an iterator-like object into a full-featured AsyncIterator.
   After this operation, only read the returned iterator instead of the given one.
   @function
-  @param {module:asynciterator.AsyncIterator|Readable} [source] The source this iterator generates items from
+  @param [source] The source this iterator generates items from
   @param {object} [options] Settings of the iterator
   @returns {module:asynciterator.AsyncIterator} A new iterator with the items from the given iterator
 */
-export function wrap<T>(source: EventEmitter | Promise<EventEmitter>, options?: TransformIteratorOptions<T>) {
-  return new TransformIterator<T>(source as AsyncIterator<T> | Promise<AsyncIterator<T>>, options);
+export function wrap<T>(source: null | undefined): AsyncIterator<T>;
+export function wrap<T>(source: MaybePromise<IterableSource<T>>): AsyncIterator<T>;
+export function wrap<T>(source: MaybePromise<AsyncIterator<T>>,
+                        options?: TransformIteratorOptions<T>): AsyncIterator<T>;
+export function wrap<T>(source?: MaybePromise<IterableSource<T>> | null,
+                        options?: TransformIteratorOptions<T>,): AsyncIterator<T> {
+  // TransformIterator if TransformIteratorOptions were specified
+  if (options)
+    return new TransformIterator<T>(source as MaybePromise<AsyncIterator<T>>, options);
+
+  // Empty iterator if no source specified
+  if (!source)
+    return empty();
+
+  // Unwrap promised sources
+  if (isPromise<T>(source))
+    return new WrappingIterator(source);
+
+  // Directly return any AsyncIterator
+  if (source instanceof AsyncIterator)
+    return source;
+
+  // Other iterable objects
+  if (Array.isArray(source))
+    return fromArray<T>(source);
+  if (isIterable(source) || isIterator(source) || isEventEmitter(source))
+    return new WrappingIterator<T>(source);
+
+  // Other types are unsupported
+  throw new TypeError(`Invalid source: ${source}`);
 }
 
 /**
   Creates an empty iterator.
  */
-export function empty<T>() {
+export function empty<T>(): AsyncIterator<T> {
   return new EmptyIterator<T>();
 }
 
@@ -2005,7 +2129,7 @@ export function empty<T>() {
   Creates an iterator with a single item.
   @param {object} item the item
  */
-export function single<T>(item: T) {
+export function single<T>(item: T): AsyncIterator<T> {
   return new SingletonIterator<T>(item);
 }
 
@@ -2013,10 +2137,26 @@ export function single<T>(item: T) {
   Creates an iterator for the given array.
   @param {Array} items the items
  */
-export function fromArray<T>(items: Iterable<T>) {
+export function fromArray<T>(items: Iterable<T>): AsyncIterator<T> {
   return new ArrayIterator<T>(items);
 }
 
+/**
+ Creates an iterator for the given Iterator.
+ @param {Iterable} source the iterator
+ */
+export function fromIterator<T>(source: Iterable<T> | Iterator<T>): AsyncIterator<T> {
+  return new WrappingIterator<T>(source);
+}
+
+/**
+ Creates an iterator for the given Iterable.
+ @param {Iterable} source the iterable
+ */
+export function fromIterable<T>(source: Iterable<T> | Iterator<T>): AsyncIterator<T> {
+  return new WrappingIterator<T>(source);
+}
+
 /**
   Creates an iterator containing all items from the given iterators.
   @param {Array} items the items
@@ -2035,25 +2175,12 @@ export function range(start: number, end: number, step?: number) {
   return new IntegerIterator({ start, end, step });
 }
 
-// Determines whether the given object is a function
-function isFunction(object: any): object is Function {
-  return typeof object === 'function';
-}
-
-// Determines whether the given object is an EventEmitter
-function isEventEmitter(object: any): object is EventEmitter {
-  return object && typeof object.on === 'function';
-}
-
-// Determines whether the given object is a promise
-function isPromise<T>(object: any): object is Promise<T> {
-  return object && typeof object.then === 'function';
-}
-
-// Determines whether the given object is a source expression
-function isSourceExpression<T>(object: any): object is SourceExpression<T> {
-  return object && (isEventEmitter(object) || isPromise(object) || isFunction(object));
-}
+export type IterableSource<T> =
+  T[] |
+  AsyncIterator<T> |
+  EventEmitter |
+  Iterator<T> |
+  Iterable<T>;
 
 export interface SourcedIteratorOptions {
   destroySource?: boolean;
@@ -2098,3 +2225,38 @@ type SourceExpression<T> =
 
 type InternalSource<T> =
   AsyncIterator<T> & { _destination?: AsyncIterator<any> };
+
+// Returns a function that calls `fn` with `self` as `this` pointer. */
+function bind<T extends Function>(fn: T, self?: object): T {
+  return self ? fn.bind(self) : fn;
+}
+
+// Determines whether the given object is a function
+export function isFunction(object: any): object is Function {
+  return typeof object === 'function';
+}
+
+// Determines whether the given object is an EventEmitter
+export function isEventEmitter(object: any): object is EventEmitter {
+  return isFunction(object?.on);
+}
+
+// Determines whether the given object is a promise
+export function isPromise<T>(object: any): object is Promise<T> {
+  return isFunction(object?.then);
+}
+
+// Determines whether the given object is a source expression
+export function isSourceExpression<T>(object: any): object is SourceExpression<T> {
+  return object && (isEventEmitter(object) || isPromise(object) || isFunction(object));
+}
+
+// Determines whether the given object supports the iterable protocol
+export function isIterable<T>(object: { [key: string]: any }): object is Iterable<T> {
+  return object && (Symbol.iterator in object);
+}
+
+// Determines whether the given object supports the iterator protocol
+export function isIterator<T>(object: { [key: string]: any }): object is Iterator<T> {
+  return isFunction(object?.next);
+}
diff --git a/test/ArrayIterator-test.js b/test/ArrayIterator-test.js
index 773eb68..f659ffc 100644
--- a/test/ArrayIterator-test.js
+++ b/test/ArrayIterator-test.js
@@ -2,6 +2,7 @@ import {
   AsyncIterator,
   ArrayIterator,
   fromArray,
+  wrap,
 } from '../dist/asynciterator.js';
 
 import { EventEmitter } from 'events';
@@ -41,6 +42,23 @@ describe('ArrayIterator', () => {
         instance.should.be.an.instanceof(EventEmitter);
       });
     });
+
+    describe('the result when called through `wrap`', () => {
+      let instance;
+      before(() => { instance = wrap([]); });
+
+      it('should be an ArrayIterator object', () => {
+        instance.should.be.an.instanceof(ArrayIterator);
+      });
+
+      it('should be an AsyncIterator object', () => {
+        instance.should.be.an.instanceof(AsyncIterator);
+      });
+
+      it('should be an EventEmitter object', () => {
+        instance.should.be.an.instanceof(EventEmitter);
+      });
+    });
   });
 
   describe('An ArrayIterator without arguments', () => {
diff --git a/test/AsyncIterator-test.js b/test/AsyncIterator-test.js
index 37a74d6..a062dd9 100644
--- a/test/AsyncIterator-test.js
+++ b/test/AsyncIterator-test.js
@@ -5,6 +5,8 @@ import {
   ENDED,
   DESTROYED,
   scheduleTask,
+  isPromise,
+  isIterator,
 } from '../dist/asynciterator.js';
 
 import { EventEmitter } from 'events';
@@ -1308,3 +1310,25 @@ describe('AsyncIterator', () => {
     });
   });
 });
+
+describe('Type-checking functions', () => {
+  describe('isPromise', () => {
+    it('returns false for null', () => {
+      expect(isPromise(null)).to.equal(false);
+    });
+
+    it('returns true for a Promise', () => {
+      expect(isPromise(Promise.resolve(0))).to.equal(true);
+    });
+  });
+
+  describe('isIterator', () => {
+    it('returns false for null', () => {
+      expect(isIterator(null)).to.equal(false);
+    });
+
+    it('returns true for an iterator', () => {
+      expect(isIterator([][Symbol.iterator]())).to.equal(true);
+    });
+  });
+});
diff --git a/test/ClonedIterator-test.js b/test/ClonedIterator-test.js
index 8b97ba4..f543728 100644
--- a/test/ClonedIterator-test.js
+++ b/test/ClonedIterator-test.js
@@ -83,6 +83,10 @@ describe('ClonedIterator', () => {
         clone.close();
       });
 
+      it('should not do anything when a source is set', () => {
+        clone.source = {};
+      });
+
       it('should have undefined as `source` property', () => {
         expect(clone.source).to.be.undefined;
       });
diff --git a/test/EmptyIterator-test.js b/test/EmptyIterator-test.js
index caf21ab..9810f30 100644
--- a/test/EmptyIterator-test.js
+++ b/test/EmptyIterator-test.js
@@ -2,6 +2,7 @@ import {
   AsyncIterator,
   EmptyIterator,
   empty,
+  wrap,
 } from '../dist/asynciterator.js';
 
 import { EventEmitter } from 'events';
@@ -41,6 +42,23 @@ describe('EmptyIterator', () => {
         instance.should.be.an.instanceof(EventEmitter);
       });
     });
+
+    describe('the result when called through `.wrap`', () => {
+      let instance;
+      before(() => { instance = wrap(); });
+
+      it('should be an EmptyIterator object', () => {
+        instance.should.be.an.instanceof(EmptyIterator);
+      });
+
+      it('should be an AsyncIterator object', () => {
+        instance.should.be.an.instanceof(AsyncIterator);
+      });
+
+      it('should be an EventEmitter object', () => {
+        instance.should.be.an.instanceof(EventEmitter);
+      });
+    });
   });
 
   describe('An EmptyIterator without arguments', () => {
diff --git a/test/MappingIterator-test.js b/test/MappingIterator-test.js
index ae2e482..7d8974f 100644
--- a/test/MappingIterator-test.js
+++ b/test/MappingIterator-test.js
@@ -542,7 +542,6 @@ describe('MappingIterator', () => {
 
   describe('A chain of maps and filters', () => {
     for (const iteratorGen of [() => range(0, 2), () => fromArray([0, 1, 2]), () => wrap(range(0, 2))]) {
-      // eslint-disable-next-line no-loop-func
       describe(`with ${iteratorGen()}`, () => {
         let iterator;
 
diff --git a/test/TransformIterator-test.js b/test/TransformIterator-test.js
index e5d8116..5ad99a0 100644
--- a/test/TransformIterator-test.js
+++ b/test/TransformIterator-test.js
@@ -35,7 +35,7 @@ describe('TransformIterator', () => {
 
     describe('the result when called through `wrap`', () => {
       let instance;
-      before(() => { instance = wrap(); });
+      before(() => { instance = wrap({}, {}); });
 
       it('should be an TransformIterator object', () => {
         instance.should.be.an.instanceof(TransformIterator);
diff --git a/test/WrappingIterator-test.js b/test/WrappingIterator-test.js
new file mode 100644
index 0000000..50a3439
--- /dev/null
+++ b/test/WrappingIterator-test.js
@@ -0,0 +1,588 @@
+import {
+  AsyncIterator,
+  ArrayIterator,
+  WrappingIterator,
+  TransformIterator,
+  EmptyIterator,
+  IntegerIterator,
+  fromIterable,
+  fromIterator,
+  wrap,
+} from '../dist/asynciterator.js';
+
+import { EventEmitter } from 'events';
+import { Readable } from 'stream';
+
+describe('WrappingIterator', () => {
+  describe('The WrappingIterator function', () => {
+    describe('the result when called with `new`', () => {
+      let iterator;
+      before(() => { iterator = new WrappingIterator(); });
+
+      it('should be an AsyncWrapper object', () => {
+        iterator.should.be.an.instanceof(WrappingIterator);
+      });
+
+      it('should be an AsyncIterator object', () => {
+        iterator.should.be.an.instanceof(AsyncIterator);
+      });
+
+      it('should be an EventEmitter object', () => {
+        iterator.should.be.an.instanceof(EventEmitter);
+      });
+    });
+  });
+
+  describe('constructed without a source', () => {
+    let iterator, source;
+    before(() => {
+      source = new AsyncIterator();
+      source.read = () => 'item';
+      iterator = new WrappingIterator();
+    });
+
+    describe('before a source is set', () => {
+      it('should not be readable', () => {
+        expect(iterator.readable).to.be.false;
+      });
+
+      it('should not have ended', () => {
+        expect(iterator.ended).to.be.false;
+      });
+
+      it('should return null upon read', () => {
+        expect(iterator.read()).to.be.null;
+      });
+    });
+
+    describe('after a source is set', () => {
+      before(() => {
+        iterator.source = new ArrayIterator([1, 2, 3]);
+      });
+
+      it('should be readable', () => {
+        expect(iterator.readable).to.be.true;
+      });
+
+      it('should not have ended', () => {
+        expect(iterator.ended).to.be.false;
+      });
+
+      it('should return the first item upon read', () => {
+        expect(iterator.read()).to.equal(1);
+      });
+
+      it('disallows setting another source', () => {
+        (() => { iterator.source = new EmptyIterator(); })
+          .should.throw('The source cannot be changed after it has been set');
+      });
+    });
+  });
+
+  describe('constructed with a promise to a source', () => {
+    let iterator, resolve;
+    before(() => {
+      iterator = new WrappingIterator(new Promise(r => {
+        resolve = r;
+      }));
+    });
+
+    describe('before the promise resolves', () => {
+      it('should not be readable', () => {
+        expect(iterator.readable).to.be.false;
+      });
+
+      it('should not have ended', () => {
+        expect(iterator.ended).to.be.false;
+      });
+
+      it('should return null upon read', () => {
+        expect(iterator.read()).to.be.null;
+      });
+
+      it('disallows setting another source', () => {
+        (() => { iterator.source = new EmptyIterator(); })
+          .should.throw('The source cannot be changed after it has been set');
+      });
+    });
+
+    describe('after the promise resolves', () => {
+      before(() => {
+        resolve(new ArrayIterator([1, 2, 3]));
+      });
+
+      it('should be readable', () => {
+        expect(iterator.readable).to.be.true;
+      });
+
+      it('should not have ended', () => {
+        expect(iterator.ended).to.be.false;
+      });
+
+      it('should return the first item upon read', () => {
+        expect(iterator.read()).to.equal(1);
+      });
+
+      it('disallows setting another source', () => {
+        (() => { iterator.source = new EmptyIterator(); })
+          .should.throw('The source cannot be changed after it has been set');
+      });
+    });
+  });
+
+  describe('with an AsyncIterator as source', () => {
+    let iterator, source;
+    before(() => {
+      source = new AsyncIterator();
+      source.read = () => 'item';
+      iterator = new WrappingIterator(source);
+    });
+
+    describe('before the source becomes readable', () => {
+      it('should not be readable', () => {
+        expect(iterator.readable).to.be.false;
+      });
+
+      it('should not have ended', () => {
+        expect(iterator.ended).to.be.false;
+      });
+
+      it('should return null upon read', () => {
+        expect(iterator.read()).to.be.null;
+      });
+    });
+
+    describe('after the source becomes readable', () => {
+      before(() => {
+        source.readable = true;
+      });
+
+      it('should not be readable', () => {
+        expect(iterator.readable).to.be.true;
+      });
+
+      it('should not have ended', () => {
+        expect(iterator.ended).to.be.false;
+      });
+
+      it('should return the item upon read', () => {
+        expect(iterator.read()).to.equal('item');
+      });
+    });
+  });
+
+  describe('with an empty iterable', () => {
+    let iterator;
+    before(() => { iterator = fromIterable((function * () { /* empty */ })()); });
+
+    it('should be readable', () => {
+      expect(iterator.readable).to.be.true;
+    });
+
+    it('should end after reading null', done => {
+      iterator.on('end', done);
+      expect(iterator.read()).to.be.null;
+    });
+
+    it('should not be readable anymore', () => {
+      expect(iterator.readable).to.be.false;
+    });
+  });
+
+  describe('with an iterable that emits one item', () => {
+    let iterator;
+    before(() => { iterator = fromIterable((function * () { yield 'first'; })()); });
+
+    it('should be readable', () => {
+      expect(iterator.readable).to.be.true;
+    });
+
+    it('should read the first item', () => {
+      expect(iterator.read()).to.equal('first');
+    });
+
+    it('should end after the second invocation of read, which should return null', done => {
+      expect(iterator.on('end', done).read()).to.equal(null);
+    });
+
+    it('should not be readable anymore', () => {
+      expect(iterator.readable).to.be.false;
+    });
+  });
+
+  describe('with an iterable that emits 10 items', () => {
+    let iterator;
+    beforeEach(() => {
+      iterator = new WrappingIterator((function * () {
+        for (let i = 0; i < 10; i += 1)
+          yield i;
+      })());
+    });
+
+    it('should emit all items', async () => {
+      const arr = await iterator.toArray();
+      expect(arr).to.deep.equal([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]);
+    });
+  });
+
+  describe('with an iterable that emits null values', () => {
+    let iterator;
+    beforeEach(() => {
+      iterator = new WrappingIterator((function * () {
+        yield 0;
+        yield null;
+        yield null;
+        yield 1;
+        yield null;
+        yield null;
+      })());
+    });
+
+    it('should skip null values', async () => {
+      const arr = await iterator.toArray();
+      expect(arr).to.deep.equal([0, 1]);
+    });
+  });
+
+  describe('with an iterator that emits one item', () => {
+    let iterator;
+    before(() => {
+      let done = false;
+      iterator = fromIterator({
+        next: () => {
+          if (done)
+            return { done };
+          done = true;
+          return { value: 'first' };
+        },
+      });
+    });
+
+    it('should be readable', () => {
+      expect(iterator.readable).to.be.true;
+    });
+
+    it('should read the first item', () => {
+      expect(iterator.read()).to.equal('first');
+    });
+
+    it('should end after the second invocation of read, which should return null', done => {
+      expect(iterator.on('end', done).read()).to.equal(null);
+    });
+
+    it('should not be readable anymore', () => {
+      expect(iterator.readable).to.be.false;
+    });
+  });
+
+  describe('with an array source', () => {
+    let iterator, source;
+    before(() => {
+      source = [0, 1, 2, 3, 4];
+      iterator = new WrappingIterator(source);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with a promise that resolves after closing', () => {
+    let iterator;
+    before(() => {
+      let resolve;
+      iterator = new WrappingIterator(new Promise(r => {
+        resolve = r;
+      }));
+      iterator.close();
+      resolve([1, 2, 3]);
+    });
+
+    it('should not emit any items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([]);
+    });
+  });
+
+  describe('with an array source', () => {
+    let iterator, source;
+    before(() => {
+      source = [0, 1, 2, 3, 4];
+      iterator = new WrappingIterator(source);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with a promisified array source', () => {
+    let iterator, source;
+    before(() => {
+      source = Promise.resolve([0, 1, 2, 3, 4]);
+      iterator = new WrappingIterator(source);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with a stream.Readable source', () => {
+    let iterator, source;
+    before(() => {
+      source = Readable.from([0, 1, 2, 3, 4]);
+      iterator = new WrappingIterator(source);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with a promisified stream.Readable source', () => {
+    let iterator, source;
+    before(() => {
+      source = Promise.resolve(Readable.from([0, 1, 2, 3, 4]));
+      iterator = new WrappingIterator(source);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with an ArrayIterator source', () => {
+    let iterator, source;
+    before(() => {
+      source = new ArrayIterator([0, 1, 2, 3, 4]);
+      iterator = new WrappingIterator(source);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with a promisified ArrayIterator source', () => {
+    let iterator, source;
+    before(() => {
+      source = Promise.resolve(new ArrayIterator([0, 1, 2, 3, 4]));
+      iterator = new WrappingIterator(source);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with an EmptyIterator source that never emits a readable event', () => {
+    let iterator;
+    before(() => {
+      iterator = new WrappingIterator(new EmptyIterator());
+      captureEvents(iterator, 'readable', 'end');
+    });
+
+    it('should have emitted the end event', () => {
+      expect(iterator._eventCounts.end).to.equal(1);
+    });
+  });
+
+  describe('with a promisified IntegerIterator', () => {
+    let iterator, source;
+    before(() => {
+      source = Promise.resolve(new IntegerIterator({ start: 0, step: 1, end: 4 }));
+      iterator = new WrappingIterator(source);
+      captureEvents(iterator, 'readable');
+    });
+
+    it('should have emitted the readable event', () => {
+      expect(iterator._eventCounts.readable).to.be.gt(0);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with a buffering AsyncIterator source with autoStart: false', () => {
+    let iterator, source;
+    before(() => {
+      source = new TransformIterator(new ArrayIterator([0, 1, 2, 3, 4]), { autoStart: false });
+      iterator = new WrappingIterator(source);
+      captureEvents(iterator, 'readable');
+    });
+
+    it('should have emitted the readable event', () => {
+      expect(iterator._eventCounts.readable).to.be.gt(0);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with a buffering AsyncIterator source with autoStart: true', () => {
+    let iterator;
+    let source;
+
+    before(done => {
+      source = new TransformIterator(new ArrayIterator([0, 1, 2, 3, 4]), { autoStart: true });
+      source.once('readable', done);
+      iterator = new WrappingIterator(source);
+      captureEvents(iterator, 'readable');
+    });
+
+    it('should have emitted the readable event', () => {
+      expect(iterator._eventCounts.readable).to.be.gt(0);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with a rejecting promise as a source', () => {
+    it('should emit the error', done => {
+      const error = new Error('some error');
+      const iterator = new WrappingIterator(Promise.reject(error));
+      iterator.once('error', e => {
+        expect(e).to.equal(error);
+        done();
+      });
+    });
+  });
+
+  describe('with a stream.Readable source that emits an error', () => {
+    it('should relay the error downstream', done => {
+      const error = new Error('some error');
+      const source = new Readable({
+        read() {
+          return null;
+        },
+      });
+      const iterator = new WrappingIterator(source);
+      iterator.once('error', e => {
+        expect(e).to.equal(error);
+        done();
+      });
+      source.emit('error', error);
+    });
+  });
+});
+
+describe('wrap', () => {
+  describe('with a stream.Readable source', () => {
+    let iterator;
+    let source;
+    before(() => {
+      source = Readable.from([0, 1, 2, 3, 4]);
+      iterator = wrap(source);
+    });
+
+    it('should return an instance of WrappingIterator', async () => {
+      expect(iterator).to.be.instanceof(WrappingIterator);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with a promisified stream.Readable source', () => {
+    let iterator, source;
+    before(() => {
+      source = Promise.resolve(Readable.from([0, 1, 2, 3, 4]));
+      iterator = wrap(source);
+    });
+
+    it('should return an instance of WrappingIterator', async () => {
+      expect(iterator).to.be.instanceof(WrappingIterator);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with an AsyncIterator source', () => {
+    let iterator, source;
+    before(() => {
+      source = new ArrayIterator([0, 1, 2, 3, 4]);
+      iterator = wrap(source);
+    });
+
+    it('should return the source itself', () => {
+      expect(iterator).to.equal(source);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with a rejecting promise as a source', () => {
+    it('should return an instance of WrappingIterator', done => {
+      const err = new Error('some error');
+      const iterator = wrap(Promise.reject(err));
+      expect(iterator).to.be.instanceof(WrappingIterator);
+      iterator.once('error', _err => {
+        expect(_err).to.equal(err);
+        done();
+      });
+    });
+  });
+
+  describe('with an invalid source', () => {
+    it('should throw an error', done => {
+      try {
+        wrap({});
+      }
+      catch (err) {
+        expect(err.message).to.match(/^Invalid source/);
+        done();
+      }
+    });
+  });
+
+  describe('with an instance of Iterator as the source', () => {
+    let source;
+    let iterator;
+    before(() => {
+      source = (function * () {
+        for (let i = 0; i < 5; i += 1)
+          yield i;
+      }());
+      iterator = wrap(source);
+    });
+
+    it('should return an instance of WrappingIterator', () => {
+      expect(iterator).to.be.instanceof(WrappingIterator);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+
+  describe('with an instance of Iterable as the source', () => {
+    let source;
+    let iterator;
+    before(() => {
+      source = {
+        *[Symbol.iterator]() {
+          for (let i = 0; i < 5; i += 1)
+            yield i;
+        },
+      };
+      iterator = wrap(source);
+    });
+
+    it('should return an instance of WrappingIterator', () => {
+      expect(iterator).to.be.instanceof(WrappingIterator);
+    });
+
+    it('should emit all items', async () => {
+      expect(await iterator.toArray()).to.deep.equal([0, 1, 2, 3, 4]);
+    });
+  });
+});