lib/goog/array/array.js

// Copyright 2006 The Closure Library Authors. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//      http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS-IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
/**
 * @fileoverview Utilities for manipulating arrays.
 *
 */
goog.provide('goog.array');
goog.provide('goog.array.ArrayLike');
goog.require('goog.asserts');
/**
 * @define {boolean} NATIVE_ARRAY_PROTOTYPES indicates whether the code should
 * rely on Array.prototype functions, if available.
 *
 * The Array.prototype functions can be defined by external libraries like
 * Prototype and setting this flag to false forces closure to use its own
 * goog.array implementation.
 *
 * If your javascript can be loaded by a third party site and you are wary about
 * relying on the prototype functions, specify
 * "--define goog.NATIVE_ARRAY_PROTOTYPES=false" to the JSCompiler.
 *
 * Setting goog.TRUSTED_SITE to false will automatically set
 * NATIVE_ARRAY_PROTOTYPES to false.
 */
goog.define('goog.NATIVE_ARRAY_PROTOTYPES', goog.TRUSTED_SITE);
/**
 * @typedef {Array|NodeList|Arguments|{length: number}}
 */
goog.array.ArrayLike;
/**
 * Returns the last element in an array without removing it.
 * @param {goog.array.ArrayLike} array The array.
 * @return {*} Last item in array.
 */
goog.array.peek = function(array) {
  return array[array.length - 1];
};
/**
 * Reference to the original {@code Array.prototype}.
 * @private
 */
goog.array.ARRAY_PROTOTYPE_ = Array.prototype;
// NOTE(arv): Since most of the array functions are generic it allows you to
// pass an array-like object. Strings have a length and are considered array-
// like. However, the 'in' operator does not work on strings so we cannot just
// use the array path even if the browser supports indexing into strings. We
// therefore end up splitting the string.
/**
 * Returns the index of the first element of an array with a specified
 * value, or -1 if the element is not present in the array.
 *
 * See {@link http://tinyurl.com/developer-mozilla-org-array-indexof}
 *
 * @param {goog.array.ArrayLike} arr The array to be searched.
 * @param {*} obj The object for which we are searching.
 * @param {number=} opt_fromIndex The index at which to start the search. If
 *     omitted the search starts at index 0.
 * @return {number} The index of the first matching array element.
 */
goog.array.indexOf = goog.NATIVE_ARRAY_PROTOTYPES &&
                     goog.array.ARRAY_PROTOTYPE_.indexOf ?
    function(arr, obj, opt_fromIndex) {
      goog.asserts.assert(arr.length != null);
      return goog.array.ARRAY_PROTOTYPE_.indexOf.call(arr, obj, opt_fromIndex);
    } :
    function(arr, obj, opt_fromIndex) {
      var fromIndex = opt_fromIndex == null ?
          0 : (opt_fromIndex < 0 ?
               Math.max(0, arr.length + opt_fromIndex) : opt_fromIndex);
      if (goog.isString(arr)) {
        // Array.prototype.indexOf uses === so only strings should be found.
        if (!goog.isString(obj) || obj.length != 1) {
          return -1;
        }
        return arr.indexOf(obj, fromIndex);
      }
      for (var i = fromIndex; i < arr.length; i++) {
        if (i in arr && arr[i] === obj)
          return i;
      }
      return -1;
    };
/**
 * Returns the index of the last element of an array with a specified value, or
 * -1 if the element is not present in the array.
 *
 * See {@link http://tinyurl.com/developer-mozilla-org-array-lastindexof}
 *
 * @param {goog.array.ArrayLike} arr The array to be searched.
 * @param {*} obj The object for which we are searching.
 * @param {?number=} opt_fromIndex The index at which to start the search. If
 *     omitted the search starts at the end of the array.
 * @return {number} The index of the last matching array element.
 */
goog.array.lastIndexOf = goog.NATIVE_ARRAY_PROTOTYPES &&
                         goog.array.ARRAY_PROTOTYPE_.lastIndexOf ?
    function(arr, obj, opt_fromIndex) {
      goog.asserts.assert(arr.length != null);
      // Firefox treats undefined and null as 0 in the fromIndex argument which
      // leads it to always return -1
      var fromIndex = opt_fromIndex == null ? arr.length - 1 : opt_fromIndex;
      return goog.array.ARRAY_PROTOTYPE_.lastIndexOf.call(arr, obj, fromIndex);
    } :
    function(arr, obj, opt_fromIndex) {
      var fromIndex = opt_fromIndex == null ? arr.length - 1 : opt_fromIndex;
      if (fromIndex < 0) {
        fromIndex = Math.max(0, arr.length + fromIndex);
      }
      if (goog.isString(arr)) {
        // Array.prototype.lastIndexOf uses === so only strings should be found.
        if (!goog.isString(obj) || obj.length != 1) {
          return -1;
        }
        return arr.lastIndexOf(obj, fromIndex);
      }
      for (var i = fromIndex; i >= 0; i--) {
        if (i in arr && arr[i] === obj)
          return i;
      }
      return -1;
    };
/**
 * Calls a function for each element in an array. Skips holes in the array.
 * See {@link http://tinyurl.com/developer-mozilla-org-array-foreach}
 *
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array like object over
 *     which to iterate.
 * @param {?function(this: S, T, number, ?): ?} f The function to call for every
 *     element. This function takes 3 arguments (the element, the index and the
 *     array). The return value is ignored.
 * @param {S=} opt_obj The object to be used as the value of 'this' within f.
 * @template T,S
 */
goog.array.forEach = goog.NATIVE_ARRAY_PROTOTYPES &&
                     goog.array.ARRAY_PROTOTYPE_.forEach ?
    function(arr, f, opt_obj) {
      goog.asserts.assert(arr.length != null);
      goog.array.ARRAY_PROTOTYPE_.forEach.call(arr, f, opt_obj);
    } :
    function(arr, f, opt_obj) {
      var l = arr.length;  // must be fixed during loop... see docs
      var arr2 = goog.isString(arr) ? arr.split('') : arr;
      for (var i = 0; i < l; i++) {
        if (i in arr2) {
          f.call(opt_obj, arr2[i], i, arr);
        }
      }
    };
/**
 * Calls a function for each element in an array, starting from the last
 * element rather than the first.
 *
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this: S, T, number, ?): ?} f The function to call for every
 *     element. This function
 *     takes 3 arguments (the element, the index and the array). The return
 *     value is ignored.
 * @param {S=} opt_obj The object to be used as the value of 'this'
 *     within f.
 * @template T,S
 */
goog.array.forEachRight = function(arr, f, opt_obj) {
  var l = arr.length;  // must be fixed during loop... see docs
  var arr2 = goog.isString(arr) ? arr.split('') : arr;
  for (var i = l - 1; i >= 0; --i) {
    if (i in arr2) {
      f.call(opt_obj, arr2[i], i, arr);
    }
  }
};
/**
 * Calls a function for each element in an array, and if the function returns
 * true adds the element to a new array.
 *
 * See {@link http://tinyurl.com/developer-mozilla-org-array-filter}
 *
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this:S, T, number, ?):boolean} f The function to call for
 *     every element. This function
 *     takes 3 arguments (the element, the index and the array) and must
 *     return a Boolean. If the return value is true the element is added to the
 *     result array. If it is false the element is not included.
 * @param {S=} opt_obj The object to be used as the value of 'this'
 *     within f.
 * @return {!Array} a new array in which only elements that passed the test are
 *     present.
 * @template T,S
 */
goog.array.filter = goog.NATIVE_ARRAY_PROTOTYPES &&
                    goog.array.ARRAY_PROTOTYPE_.filter ?
    function(arr, f, opt_obj) {
      goog.asserts.assert(arr.length != null);
      return goog.array.ARRAY_PROTOTYPE_.filter.call(arr, f, opt_obj);
    } :
    function(arr, f, opt_obj) {
      var l = arr.length;  // must be fixed during loop... see docs
      var res = [];
      var resLength = 0;
      var arr2 = goog.isString(arr) ? arr.split('') : arr;
      for (var i = 0; i < l; i++) {
        if (i in arr2) {
          var val = arr2[i];  // in case f mutates arr2
          if (f.call(opt_obj, val, i, arr)) {
            res[resLength++] = val;
          }
        }
      }
      return res;
    };
/**
 * Calls a function for each element in an array and inserts the result into a
 * new array.
 *
 * See {@link http://tinyurl.com/developer-mozilla-org-array-map}
 *
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this:S, T, number, ?):?} f The function to call for every
 *     element. This function
 *     takes 3 arguments (the element, the index and the array) and should
 *     return something. The result will be inserted into a new array.
 * @param {S=} opt_obj The object to be used as the value of 'this'
 *     within f.
 * @return {!Array} a new array with the results from f.
 * @template T,S
 */
goog.array.map = goog.NATIVE_ARRAY_PROTOTYPES &&
                 goog.array.ARRAY_PROTOTYPE_.map ?
    function(arr, f, opt_obj) {
      goog.asserts.assert(arr.length != null);
      return goog.array.ARRAY_PROTOTYPE_.map.call(arr, f, opt_obj);
    } :
    function(arr, f, opt_obj) {
      var l = arr.length;  // must be fixed during loop... see docs
      var res = new Array(l);
      var arr2 = goog.isString(arr) ? arr.split('') : arr;
      for (var i = 0; i < l; i++) {
        if (i in arr2) {
          res[i] = f.call(opt_obj, arr2[i], i, arr);
        }
      }
      return res;
    };
/**
 * Passes every element of an array into a function and accumulates the result.
 *
 * See {@link http://tinyurl.com/developer-mozilla-org-array-reduce}
 *
 * For example:
 * var a = [1, 2, 3, 4];
 * goog.array.reduce(a, function(r, v, i, arr) {return r + v;}, 0);
 * returns 10
 *
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this:S, R, T, number, ?) : R} f The function to call for
 *     every element. This function
 *     takes 4 arguments (the function's previous result or the initial value,
 *     the value of the current array element, the current array index, and the
 *     array itself)
 *     function(previousValue, currentValue, index, array).
 * @param {?} val The initial value to pass into the function on the first call.
 * @param {S=} opt_obj  The object to be used as the value of 'this'
 *     within f.
 * @return {R} Result of evaluating f repeatedly across the values of the array.
 * @template T,S,R
 */
goog.array.reduce = function(arr, f, val, opt_obj) {
  if (arr.reduce) {
    if (opt_obj) {
      return arr.reduce(goog.bind(f, opt_obj), val);
    } else {
      return arr.reduce(f, val);
    }
  }
  var rval = val;
  goog.array.forEach(arr, function(val, index) {
    rval = f.call(opt_obj, rval, val, index, arr);
  });
  return rval;
};
/**
 * Passes every element of an array into a function and accumulates the result,
 * starting from the last element and working towards the first.
 *
 * See {@link http://tinyurl.com/developer-mozilla-org-array-reduceright}
 *
 * For example:
 * var a = ['a', 'b', 'c'];
 * goog.array.reduceRight(a, function(r, v, i, arr) {return r + v;}, '');
 * returns 'cba'
 *
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this:S, R, T, number, ?) : R} f The function to call for
 *     every element. This function
 *     takes 4 arguments (the function's previous result or the initial value,
 *     the value of the current array element, the current array index, and the
 *     array itself)
 *     function(previousValue, currentValue, index, array).
 * @param {?} val The initial value to pass into the function on the first call.
 * @param {S=} opt_obj The object to be used as the value of 'this'
 *     within f.
 * @return {R} Object returned as a result of evaluating f repeatedly across the
 *     values of the array.
 * @template T,S,R
 */
goog.array.reduceRight = function(arr, f, val, opt_obj) {
  if (arr.reduceRight) {
    if (opt_obj) {
      return arr.reduceRight(goog.bind(f, opt_obj), val);
    } else {
      return arr.reduceRight(f, val);
    }
  }
  var rval = val;
  goog.array.forEachRight(arr, function(val, index) {
    rval = f.call(opt_obj, rval, val, index, arr);
  });
  return rval;
};
/**
 * Calls f for each element of an array. If any call returns true, some()
 * returns true (without checking the remaining elements). If all calls
 * return false, some() returns false.
 *
 * See {@link http://tinyurl.com/developer-mozilla-org-array-some}
 *
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this:S, T, number, ?) : boolean} f The function to call for
 *     for every element. This function takes 3 arguments (the element, the
 *     index and the array) and should return a boolean.
 * @param {S=} opt_obj  The object to be used as the value of 'this'
 *     within f.
 * @return {boolean} true if any element passes the test.
 * @template T,S
 */
goog.array.some = goog.NATIVE_ARRAY_PROTOTYPES &&
                  goog.array.ARRAY_PROTOTYPE_.some ?
    function(arr, f, opt_obj) {
      goog.asserts.assert(arr.length != null);
      return goog.array.ARRAY_PROTOTYPE_.some.call(arr, f, opt_obj);
    } :
    function(arr, f, opt_obj) {
      var l = arr.length;  // must be fixed during loop... see docs
      var arr2 = goog.isString(arr) ? arr.split('') : arr;
      for (var i = 0; i < l; i++) {
        if (i in arr2 && f.call(opt_obj, arr2[i], i, arr)) {
          return true;
        }
      }
      return false;
    };
/**
 * Call f for each element of an array. If all calls return true, every()
 * returns true. If any call returns false, every() returns false and
 * does not continue to check the remaining elements.
 *
 * See {@link http://tinyurl.com/developer-mozilla-org-array-every}
 *
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this:S, T, number, ?) : boolean} f The function to call for
 *     for every element. This function takes 3 arguments (the element, the
 *     index and the array) and should return a boolean.
 * @param {S=} opt_obj The object to be used as the value of 'this'
 *     within f.
 * @return {boolean} false if any element fails the test.
 * @template T,S
 */
goog.array.every = goog.NATIVE_ARRAY_PROTOTYPES &&
                   goog.array.ARRAY_PROTOTYPE_.every ?
    function(arr, f, opt_obj) {
      goog.asserts.assert(arr.length != null);
      return goog.array.ARRAY_PROTOTYPE_.every.call(arr, f, opt_obj);
    } :
    function(arr, f, opt_obj) {
      var l = arr.length;  // must be fixed during loop... see docs
      var arr2 = goog.isString(arr) ? arr.split('') : arr;
      for (var i = 0; i < l; i++) {
        if (i in arr2 && !f.call(opt_obj, arr2[i], i, arr)) {
          return false;
        }
      }
      return true;
    };
/**
 * Counts the array elements that fulfill the predicate, i.e. for which the
 * callback function returns true. Skips holes in the array.
 *
 * @param {!(Array.<T>|goog.array.ArrayLike)} arr Array or array like object
 *     over which to iterate.
 * @param {function(this: S, T, number, ?): boolean} f The function to call for
 *     every element. Takes 3 arguments (the element, the index and the array).
 * @param {S=} opt_obj The object to be used as the value of 'this' within f.
 * @return {number} The number of the matching elements.
 * @template T,S
 */
goog.array.count = function(arr, f, opt_obj) {
  var count = 0;
  goog.array.forEach(arr, function(element, index, arr) {
    if (f.call(opt_obj, element, index, arr)) {
      ++count;
    }
  }, opt_obj);
  return count;
};
/**
 * Search an array for the first element that satisfies a given condition and
 * return that element.
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this:S, T, number, ?) : boolean} f The function to call
 *     for every element. This function takes 3 arguments (the element, the
 *     index and the array) and should return a boolean.
 * @param {S=} opt_obj An optional "this" context for the function.
 * @return {T} The first array element that passes the test, or null if no
 *     element is found.
 * @template T,S
 */
goog.array.find = function(arr, f, opt_obj) {
  var i = goog.array.findIndex(arr, f, opt_obj);
  return i < 0 ? null : goog.isString(arr) ? arr.charAt(i) : arr[i];
};
/**
 * Search an array for the first element that satisfies a given condition and
 * return its index.
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this:S, T, number, ?) : boolean} f The function to call for
 *     every element. This function
 *     takes 3 arguments (the element, the index and the array) and should
 *     return a boolean.
 * @param {S=} opt_obj An optional "this" context for the function.
 * @return {number} The index of the first array element that passes the test,
 *     or -1 if no element is found.
 * @template T,S
 */
goog.array.findIndex = function(arr, f, opt_obj) {
  var l = arr.length;  // must be fixed during loop... see docs
  var arr2 = goog.isString(arr) ? arr.split('') : arr;
  for (var i = 0; i < l; i++) {
    if (i in arr2 && f.call(opt_obj, arr2[i], i, arr)) {
      return i;
    }
  }
  return -1;
};
/**
 * Search an array (in reverse order) for the last element that satisfies a
 * given condition and return that element.
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this:S, T, number, ?) : boolean} f The function to call
 *     for every element. This function
 *     takes 3 arguments (the element, the index and the array) and should
 *     return a boolean.
 * @param {S=} opt_obj An optional "this" context for the function.
 * @return {T} The last array element that passes the test, or null if no
 *     element is found.
 * @template T,S
 */
goog.array.findRight = function(arr, f, opt_obj) {
  var i = goog.array.findIndexRight(arr, f, opt_obj);
  return i < 0 ? null : goog.isString(arr) ? arr.charAt(i) : arr[i];
};
/**
 * Search an array (in reverse order) for the last element that satisfies a
 * given condition and return its index.
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this:S, T, number, ?) : boolean} f The function to call
 *     for every element. This function
 *     takes 3 arguments (the element, the index and the array) and should
 *     return a boolean.
 * @param {Object=} opt_obj An optional "this" context for the function.
 * @return {number} The index of the last array element that passes the test,
 *     or -1 if no element is found.
 * @template T,S
 */
goog.array.findIndexRight = function(arr, f, opt_obj) {
  var l = arr.length;  // must be fixed during loop... see docs
  var arr2 = goog.isString(arr) ? arr.split('') : arr;
  for (var i = l - 1; i >= 0; i--) {
    if (i in arr2 && f.call(opt_obj, arr2[i], i, arr)) {
      return i;
    }
  }
  return -1;
};
/**
 * Whether the array contains the given object.
 * @param {goog.array.ArrayLike} arr The array to test for the presence of the
 *     element.
 * @param {*} obj The object for which to test.
 * @return {boolean} true if obj is present.
 */
goog.array.contains = function(arr, obj) {
  return goog.array.indexOf(arr, obj) >= 0;
};
/**
 * Whether the array is empty.
 * @param {goog.array.ArrayLike} arr The array to test.
 * @return {boolean} true if empty.
 */
goog.array.isEmpty = function(arr) {
  return arr.length == 0;
};
/**
 * Clears the array.
 * @param {goog.array.ArrayLike} arr Array or array like object to clear.
 */
goog.array.clear = function(arr) {
  // For non real arrays we don't have the magic length so we delete the
  // indices.
  if (!goog.isArray(arr)) {
    for (var i = arr.length - 1; i >= 0; i--) {
      delete arr[i];
    }
  }
  arr.length = 0;
};
/**
 * Pushes an item into an array, if it's not already in the array.
 * @param {Array.<T>} arr Array into which to insert the item.
 * @param {T} obj Value to add.
 * @template T
 */
goog.array.insert = function(arr, obj) {
  if (!goog.array.contains(arr, obj)) {
    arr.push(obj);
  }
};
/**
 * Inserts an object at the given index of the array.
 * @param {goog.array.ArrayLike} arr The array to modify.
 * @param {*} obj The object to insert.
 * @param {number=} opt_i The index at which to insert the object. If omitted,
 *      treated as 0. A negative index is counted from the end of the array.
 */
goog.array.insertAt = function(arr, obj, opt_i) {
  goog.array.splice(arr, opt_i, 0, obj);
};
/**
 * Inserts at the given index of the array, all elements of another array.
 * @param {goog.array.ArrayLike} arr The array to modify.
 * @param {goog.array.ArrayLike} elementsToAdd The array of elements to add.
 * @param {number=} opt_i The index at which to insert the object. If omitted,
 *      treated as 0. A negative index is counted from the end of the array.
 */
goog.array.insertArrayAt = function(arr, elementsToAdd, opt_i) {
  goog.partial(goog.array.splice, arr, opt_i, 0).apply(null, elementsToAdd);
};
/**
 * Inserts an object into an array before a specified object.
 * @param {Array.<T>} arr The array to modify.
 * @param {T} obj The object to insert.
 * @param {T=} opt_obj2 The object before which obj should be inserted. If obj2
 *     is omitted or not found, obj is inserted at the end of the array.
 * @template T
 */
goog.array.insertBefore = function(arr, obj, opt_obj2) {
  var i;
  if (arguments.length == 2 || (i = goog.array.indexOf(arr, opt_obj2)) < 0) {
    arr.push(obj);
  } else {
    goog.array.insertAt(arr, obj, i);
  }
};
/**
 * Removes the first occurrence of a particular value from an array.
 * @param {goog.array.ArrayLike} arr Array from which to remove value.
 * @param {*} obj Object to remove.
 * @return {boolean} True if an element was removed.
 */
goog.array.remove = function(arr, obj) {
  var i = goog.array.indexOf(arr, obj);
  var rv;
  if ((rv = i >= 0)) {
    goog.array.removeAt(arr, i);
  }
  return rv;
};
/**
 * Removes from an array the element at index i
 * @param {goog.array.ArrayLike} arr Array or array like object from which to
 *     remove value.
 * @param {number} i The index to remove.
 * @return {boolean} True if an element was removed.
 */
goog.array.removeAt = function(arr, i) {
  goog.asserts.assert(arr.length != null);
  // use generic form of splice
  // splice returns the removed items and if successful the length of that
  // will be 1
  return goog.array.ARRAY_PROTOTYPE_.splice.call(arr, i, 1).length == 1;
};
/**
 * Removes the first value that satisfies the given condition.
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array
 *     like object over which to iterate.
 * @param {?function(this:S, T, number, ?) : boolean} f The function to call
 *     for every element. This function
 *     takes 3 arguments (the element, the index and the array) and should
 *     return a boolean.
 * @param {S=} opt_obj An optional "this" context for the function.
 * @return {boolean} True if an element was removed.
 * @template T,S
 */
goog.array.removeIf = function(arr, f, opt_obj) {
  var i = goog.array.findIndex(arr, f, opt_obj);
  if (i >= 0) {
    goog.array.removeAt(arr, i);
    return true;
  }
  return false;
};
/**
 * Returns a new array that is the result of joining the arguments.  If arrays
 * are passed then their items are added, however, if non-arrays are passed they
 * will be added to the return array as is.
 *
 * Note that ArrayLike objects will be added as is, rather than having their
 * items added.
 *
 * goog.array.concat([1, 2], [3, 4]) -> [1, 2, 3, 4]
 * goog.array.concat(0, [1, 2]) -> [0, 1, 2]
 * goog.array.concat([1, 2], null) -> [1, 2, null]
 *
 * There is bug in all current versions of IE (6, 7 and 8) where arrays created
 * in an iframe become corrupted soon (not immediately) after the iframe is
 * destroyed. This is common if loading data via goog.net.IframeIo, for example.
 * This corruption only affects the concat method which will start throwing
 * Catastrophic Errors (#-2147418113).
 *
 * See http://endoflow.com/scratch/corrupted-arrays.html for a test case.
 *
 * Internally goog.array should use this, so that all methods will continue to
 * work on these broken array objects.
 *
 * @param {...*} var_args Items to concatenate.  Arrays will have each item
 *     added, while primitives and objects will be added as is.
 * @return {!Array} The new resultant array.
 */
goog.array.concat = function(var_args) {
  return goog.array.ARRAY_PROTOTYPE_.concat.apply(
      goog.array.ARRAY_PROTOTYPE_, arguments);
};
/**
 * Converts an object to an array.
 * @param {goog.array.ArrayLike} object  The object to convert to an array.
 * @return {!Array} The object converted into an array. If object has a
 *     length property, every property indexed with a non-negative number
 *     less than length will be included in the result. If object does not
 *     have a length property, an empty array will be returned.
 */
goog.array.toArray = function(object) {
  var length = object.length;
  // If length is not a number the following it false. This case is kept for
  // backwards compatibility since there are callers that pass objects that are
  // not array like.
  if (length > 0) {
    var rv = new Array(length);
    for (var i = 0; i < length; i++) {
      rv[i] = object[i];
    }
    return rv;
  }
  return [];
};
/**
 * Does a shallow copy of an array.
 * @param {goog.array.ArrayLike} arr  Array or array-like object to clone.
 * @return {!Array} Clone of the input array.
 */
goog.array.clone = goog.array.toArray;
/**
 * Extends an array with another array, element, or "array like" object.
 * This function operates 'in-place', it does not create a new Array.
 *
 * Example:
 * var a = [];
 * goog.array.extend(a, [0, 1]);
 * a; // [0, 1]
 * goog.array.extend(a, 2);
 * a; // [0, 1, 2]
 *
 * @param {Array} arr1  The array to modify.
 * @param {...*} var_args The elements or arrays of elements to add to arr1.
 */
goog.array.extend = function(arr1, var_args) {
  for (var i = 1; i < arguments.length; i++) {
    var arr2 = arguments[i];
    // If we have an Array or an Arguments object we can just call push
    // directly.
    var isArrayLike;
    if (goog.isArray(arr2) ||
        // Detect Arguments. ES5 says that the [[Class]] of an Arguments object
        // is "Arguments" but only V8 and JSC/Safari gets this right. We instead
        // detect Arguments by checking for array like and presence of "callee".
        (isArrayLike = goog.isArrayLike(arr2)) &&
            // The getter for callee throws an exception in strict mode
            // according to section 10.6 in ES5 so check for presence instead.
            Object.prototype.hasOwnProperty.call(arr2, 'callee')) {
      arr1.push.apply(arr1, arr2);
    } else if (isArrayLike) {
      // Otherwise loop over arr2 to prevent copying the object.
      var len1 = arr1.length;
      var len2 = arr2.length;
      for (var j = 0; j < len2; j++) {
        arr1[len1 + j] = arr2[j];
      }
    } else {
      arr1.push(arr2);
    }
  }
};
/**
 * Adds or removes elements from an array. This is a generic version of Array
 * splice. This means that it might work on other objects similar to arrays,
 * such as the arguments object.
 *
 * @param {goog.array.ArrayLike} arr The array to modify.
 * @param {number|undefined} index The index at which to start changing the
 *     array. If not defined, treated as 0.
 * @param {number} howMany How many elements to remove (0 means no removal. A
 *     value below 0 is treated as zero and so is any other non number. Numbers
 *     are floored).
 * @param {...*} var_args Optional, additional elements to insert into the
 *     array.
 * @return {!Array} the removed elements.
 */
goog.array.splice = function(arr, index, howMany, var_args) {
  goog.asserts.assert(arr.length != null);
  return goog.array.ARRAY_PROTOTYPE_.splice.apply(
      arr, goog.array.slice(arguments, 1));
};
/**
 * Returns a new array from a segment of an array. This is a generic version of
 * Array slice. This means that it might work on other objects similar to
 * arrays, such as the arguments object.
 *
 * @param {Array.<T>|goog.array.ArrayLike} arr The array from
 * which to copy a segment.
 * @param {number} start The index of the first element to copy.
 * @param {number=} opt_end The index after the last element to copy.
 * @return {!Array.<T>} A new array containing the specified segment of the
 *     original array.
 * @template T
 */
goog.array.slice = function(arr, start, opt_end) {
  goog.asserts.assert(arr.length != null);
  // passing 1 arg to slice is not the same as passing 2 where the second is
  // null or undefined (in that case the second argument is treated as 0).
  // we could use slice on the arguments object and then use apply instead of
  // testing the length
  if (arguments.length <= 2) {
    return goog.array.ARRAY_PROTOTYPE_.slice.call(arr, start);
  } else {
    return goog.array.ARRAY_PROTOTYPE_.slice.call(arr, start, opt_end);
  }
};
/**
 * Removes all duplicates from an array (retaining only the first
 * occurrence of each array element).  This function modifies the
 * array in place and doesn't change the order of the non-duplicate items.
 *
 * For objects, duplicates are identified as having the same unique ID as
 * defined by {@link goog.getUid}.
 *
 * Runtime: N,
 * Worstcase space: 2N (no dupes)
 *
 * @param {goog.array.ArrayLike} arr The array from which to remove duplicates.
 * @param {Array=} opt_rv An optional array in which to return the results,
 *     instead of performing the removal inplace.  If specified, the original
 *     array will remain unchanged.
 */
goog.array.removeDuplicates = function(arr, opt_rv) {
  var returnArray = opt_rv || arr;
  var seen = {}, cursorInsert = 0, cursorRead = 0;
  while (cursorRead < arr.length) {
    var current = arr[cursorRead++];
    // Prefix each type with a single character representing the type to
    // prevent conflicting keys (e.g. true and 'true').
    var key = goog.isObject(current) ?
        'o' + goog.getUid(current) :
        (typeof current).charAt(0) + current;
    if (!Object.prototype.hasOwnProperty.call(seen, key)) {
      seen[key] = true;
      returnArray[cursorInsert++] = current;
    }
  }
  returnArray.length = cursorInsert;
};
/**
 * Searches the specified array for the specified target using the binary
 * search algorithm.  If no opt_compareFn is specified, elements are compared
 * using <code>goog.array.defaultCompare</code>, which compares the elements
 * using the built in < and > operators.  This will produce the expected
 * behavior for homogeneous arrays of String(s) and Number(s). The array
 * specified <b>must</b> be sorted in ascending order (as defined by the
 * comparison function).  If the array is not sorted, results are undefined.
 * If the array contains multiple instances of the specified target value, any
 * of these instances may be found.
 *
 * Runtime: O(log n)
 *
 * @param {goog.array.ArrayLike} arr The array to be searched.
 * @param {*} target The sought value.
 * @param {Function=} opt_compareFn Optional comparison function by which the
 *     array is ordered. Should take 2 arguments to compare, and return a
 *     negative number, zero, or a positive number depending on whether the
 *     first argument is less than, equal to, or greater than the second.
 * @return {number} Lowest index of the target value if found, otherwise
 *     (-(insertion point) - 1). The insertion point is where the value should
 *     be inserted into arr to preserve the sorted property.  Return value >= 0
 *     iff target is found.
 */
goog.array.binarySearch = function(arr, target, opt_compareFn) {
  return goog.array.binarySearch_(arr,
      opt_compareFn || goog.array.defaultCompare, false /* isEvaluator */,
      target);
};
/**
 * Selects an index in the specified array using the binary search algorithm.
 * The evaluator receives an element and determines whether the desired index
 * is before, at, or after it.  The evaluator must be consistent (formally,
 * goog.array.map(goog.array.map(arr, evaluator, opt_obj), goog.math.sign)
 * must be monotonically non-increasing).
 *
 * Runtime: O(log n)
 *
 * @param {goog.array.ArrayLike} arr The array to be searched.
 * @param {Function} evaluator Evaluator function that receives 3 arguments
 *     (the element, the index and the array). Should return a negative number,
 *     zero, or a positive number depending on whether the desired index is
 *     before, at, or after the element passed to it.
 * @param {Object=} opt_obj The object to be used as the value of 'this'
 *     within evaluator.
 * @return {number} Index of the leftmost element matched by the evaluator, if
 *     such exists; otherwise (-(insertion point) - 1). The insertion point is
 *     the index of the first element for which the evaluator returns negative,
 *     or arr.length if no such element exists. The return value is non-negative
 *     iff a match is found.
 */
goog.array.binarySelect = function(arr, evaluator, opt_obj) {
  return goog.array.binarySearch_(arr, evaluator, true /* isEvaluator */,
      undefined /* opt_target */, opt_obj);
};
/**
 * Implementation of a binary search algorithm which knows how to use both
 * comparison functions and evaluators. If an evaluator is provided, will call
 * the evaluator with the given optional data object, conforming to the
 * interface defined in binarySelect. Otherwise, if a comparison function is
 * provided, will call the comparison function against the given data object.
 *
 * This implementation purposefully does not use goog.bind or goog.partial for
 * performance reasons.
 *
 * Runtime: O(log n)
 *
 * @param {goog.array.ArrayLike} arr The array to be searched.
 * @param {Function} compareFn Either an evaluator or a comparison function,
 *     as defined by binarySearch and binarySelect above.
 * @param {boolean} isEvaluator Whether the function is an evaluator or a
 *     comparison function.
 * @param {*=} opt_target If the function is a comparison function, then this is
 *     the target to binary search for.
 * @param {Object=} opt_selfObj If the function is an evaluator, this is an
  *    optional this object for the evaluator.
 * @return {number} Lowest index of the target value if found, otherwise
 *     (-(insertion point) - 1). The insertion point is where the value should
 *     be inserted into arr to preserve the sorted property.  Return value >= 0
 *     iff target is found.
 * @private
 */
goog.array.binarySearch_ = function(arr, compareFn, isEvaluator, opt_target,
    opt_selfObj) {
  var left = 0;  // inclusive
  var right = arr.length;  // exclusive
  var found;
  while (left < right) {
    var middle = (left + right) >> 1;
    var compareResult;
    if (isEvaluator) {
      compareResult = compareFn.call(opt_selfObj, arr[middle], middle, arr);
    } else {
      compareResult = compareFn(opt_target, arr[middle]);
    }
    if (compareResult > 0) {
      left = middle + 1;
    } else {
      right = middle;
      // We are looking for the lowest index so we can't return immediately.
      found = !compareResult;
    }
  }
  // left is the index if found, or the insertion point otherwise.
  // ~left is a shorthand for -left - 1.
  return found ? left : ~left;
};
/**
 * Sorts the specified array into ascending order.  If no opt_compareFn is
 * specified, elements are compared using
 * <code>goog.array.defaultCompare</code>, which compares the elements using
 * the built in < and > operators.  This will produce the expected behavior
 * for homogeneous arrays of String(s) and Number(s), unlike the native sort,
 * but will give unpredictable results for heterogenous lists of strings and
 * numbers with different numbers of digits.
 *
 * This sort is not guaranteed to be stable.
 *
 * Runtime: Same as <code>Array.prototype.sort</code>
 *
 * @param {Array.<T>} arr The array to be sorted.
 * @param {?function(T,T):number=} opt_compareFn Optional comparison
 *     function by which the
 *     array is to be ordered. Should take 2 arguments to compare, and return a
 *     negative number, zero, or a positive number depending on whether the
 *     first argument is less than, equal to, or greater than the second.
 * @template T
 */
goog.array.sort = function(arr, opt_compareFn) {
  // TODO(arv): Update type annotation since null is not accepted.
  goog.asserts.assert(arr.length != null);
  goog.array.ARRAY_PROTOTYPE_.sort.call(
      arr, opt_compareFn || goog.array.defaultCompare);
};
/**
 * Sorts the specified array into ascending order in a stable way.  If no
 * opt_compareFn is specified, elements are compared using
 * <code>goog.array.defaultCompare</code>, which compares the elements using
 * the built in < and > operators.  This will produce the expected behavior
 * for homogeneous arrays of String(s) and Number(s).
 *
 * Runtime: Same as <code>Array.prototype.sort</code>, plus an additional
 * O(n) overhead of copying the array twice.
 *
 * @param {Array.<T>} arr The array to be sorted.
 * @param {?function(T, T): number=} opt_compareFn Optional comparison function
 *     by which the array is to be ordered. Should take 2 arguments to compare,
 *     and return a negative number, zero, or a positive number depending on
 *     whether the first argument is less than, equal to, or greater than the
 *     second.
 * @template T
 */
goog.array.stableSort = function(arr, opt_compareFn) {
  for (var i = 0; i < arr.length; i++) {
    arr[i] = {index: i, value: arr[i]};
  }
  var valueCompareFn = opt_compareFn || goog.array.defaultCompare;
  function stableCompareFn(obj1, obj2) {
    return valueCompareFn(obj1.value, obj2.value) || obj1.index - obj2.index;
  };
  goog.array.sort(arr, stableCompareFn);
  for (var i = 0; i < arr.length; i++) {
    arr[i] = arr[i].value;
  }
};
/**
 * Sorts an array of objects by the specified object key and compare
 * function. If no compare function is provided, the key values are
 * compared in ascending order using <code>goog.array.defaultCompare</code>.
 * This won't work for keys that get renamed by the compiler. So use
 * {'foo': 1, 'bar': 2} rather than {foo: 1, bar: 2}.
 * @param {Array.<Object>} arr An array of objects to sort.
 * @param {string} key The object key to sort by.
 * @param {Function=} opt_compareFn The function to use to compare key
 *     values.
 */
goog.array.sortObjectsByKey = function(arr, key, opt_compareFn) {
  var compare = opt_compareFn || goog.array.defaultCompare;
  goog.array.sort(arr, function(a, b) {
    return compare(a[key], b[key]);
  });
};
/**
 * Tells if the array is sorted.
 * @param {!Array.<T>} arr The array.
 * @param {?function(T,T):number=} opt_compareFn Function to compare the
 *     array elements.
 *     Should take 2 arguments to compare, and return a negative number, zero,
 *     or a positive number depending on whether the first argument is less
 *     than, equal to, or greater than the second.
 * @param {boolean=} opt_strict If true no equal elements are allowed.
 * @return {boolean} Whether the array is sorted.
 * @template T
 */
goog.array.isSorted = function(arr, opt_compareFn, opt_strict) {
  var compare = opt_compareFn || goog.array.defaultCompare;
  for (var i = 1; i < arr.length; i++) {
    var compareResult = compare(arr[i - 1], arr[i]);
    if (compareResult > 0 || compareResult == 0 && opt_strict) {
      return false;
    }
  }
  return true;
};
/**
 * Compares two arrays for equality. Two arrays are considered equal if they
 * have the same length and their corresponding elements are equal according to
 * the comparison function.
 *
 * @param {goog.array.ArrayLike} arr1 The first array to compare.
 * @param {goog.array.ArrayLike} arr2 The second array to compare.
 * @param {Function=} opt_equalsFn Optional comparison function.
 *     Should take 2 arguments to compare, and return true if the arguments
 *     are equal. Defaults to {@link goog.array.defaultCompareEquality} which
 *     compares the elements using the built-in '===' operator.
 * @return {boolean} Whether the two arrays are equal.
 */
goog.array.equals = function(arr1, arr2, opt_equalsFn) {
  if (!goog.isArrayLike(arr1) || !goog.isArrayLike(arr2) ||
      arr1.length != arr2.length) {
    return false;
  }
  var l = arr1.length;
  var equalsFn = opt_equalsFn || goog.array.defaultCompareEquality;
  for (var i = 0; i < l; i++) {
    if (!equalsFn(arr1[i], arr2[i])) {
      return false;
    }
  }
  return true;
};
/**
 * @deprecated Use {@link goog.array.equals}.
 * @param {goog.array.ArrayLike} arr1 See {@link goog.array.equals}.
 * @param {goog.array.ArrayLike} arr2 See {@link goog.array.equals}.
 * @param {Function=} opt_equalsFn See {@link goog.array.equals}.
 * @return {boolean} See {@link goog.array.equals}.
 */
goog.array.compare = function(arr1, arr2, opt_equalsFn) {
  return goog.array.equals(arr1, arr2, opt_equalsFn);
};
/**
 * 3-way array compare function.
 * @param {!goog.array.ArrayLike} arr1 The first array to compare.
 * @param {!goog.array.ArrayLike} arr2 The second array to compare.
 * @param {?function(?, ?): number=} opt_compareFn Optional comparison function
 *     by which the array is to be ordered. Should take 2 arguments to compare,
 *     and return a negative number, zero, or a positive number depending on
 *     whether the first argument is less than, equal to, or greater than the
 *     second.
 * @return {number} Negative number, zero, or a positive number depending on
 *     whether the first argument is less than, equal to, or greater than the
 *     second.
 */
goog.array.compare3 = function(arr1, arr2, opt_compareFn) {
  var compare = opt_compareFn || goog.array.defaultCompare;
  var l = Math.min(arr1.length, arr2.length);
  for (var i = 0; i < l; i++) {
    var result = compare(arr1[i], arr2[i]);
    if (result != 0) {
      return result;
    }
  }
  return goog.array.defaultCompare(arr1.length, arr2.length);
};
/**
 * Compares its two arguments for order, using the built in < and >
 * operators.
 * @param {*} a The first object to be compared.
 * @param {*} b The second object to be compared.
 * @return {number} A negative number, zero, or a positive number as the first
 *     argument is less than, equal to, or greater than the second.
 */
goog.array.defaultCompare = function(a, b) {
  return a > b ? 1 : a < b ? -1 : 0;
};
/**
 * Compares its two arguments for equality, using the built in === operator.
 * @param {*} a The first object to compare.
 * @param {*} b The second object to compare.
 * @return {boolean} True if the two arguments are equal, false otherwise.
 */
goog.array.defaultCompareEquality = function(a, b) {
  return a === b;
};
/**
 * Inserts a value into a sorted array. The array is not modified if the
 * value is already present.
 * @param {Array.<T>} array The array to modify.
 * @param {T} value The object to insert.
 * @param {?function(T,T):number=} opt_compareFn Optional comparison function by
 *     which the
 *     array is ordered. Should take 2 arguments to compare, and return a
 *     negative number, zero, or a positive number depending on whether the
 *     first argument is less than, equal to, or greater than the second.
 * @return {boolean} True if an element was inserted.
 * @template T
 */
goog.array.binaryInsert = function(array, value, opt_compareFn) {
  var index = goog.array.binarySearch(array, value, opt_compareFn);
  if (index < 0) {
    goog.array.insertAt(array, value, -(index + 1));
    return true;
  }
  return false;
};
/**
 * Removes a value from a sorted array.
 * @param {Array} array The array to modify.
 * @param {*} value The object to remove.
 * @param {Function=} opt_compareFn Optional comparison function by which the
 *     array is ordered. Should take 2 arguments to compare, and return a
 *     negative number, zero, or a positive number depending on whether the
 *     first argument is less than, equal to, or greater than the second.
 * @return {boolean} True if an element was removed.
 */
goog.array.binaryRemove = function(array, value, opt_compareFn) {
  var index = goog.array.binarySearch(array, value, opt_compareFn);
  return (index >= 0) ? goog.array.removeAt(array, index) : false;
};
/**
 * Splits an array into disjoint buckets according to a splitting function.
 * @param {Array.<T>} array The array.
 * @param {function(this:S, T,number,Array.<T>):?} sorter Function to call for
 *     every element.  This takes 3 arguments (the element, the index and the
 *     array) and must return a valid object key (a string, number, etc), or
 *     undefined, if that object should not be placed in a bucket.
 * @param {S=} opt_obj The object to be used as the value of 'this' within
 *     sorter.
 * @return {!Object} An object, with keys being all of the unique return values
 *     of sorter, and values being arrays containing the items for
 *     which the splitter returned that key.
 * @template T,S
 */
goog.array.bucket = function(array, sorter, opt_obj) {
  var buckets = {};
  for (var i = 0; i < array.length; i++) {
    var value = array[i];
    var key = sorter.call(opt_obj, value, i, array);
    if (goog.isDef(key)) {
      // Push the value to the right bucket, creating it if necessary.
      var bucket = buckets[key] || (buckets[key] = []);
      bucket.push(value);
    }
  }
  return buckets;
};
/**
 * Creates a new object built from the provided array and the key-generation
 * function.
 * @param {Array.<T>|goog.array.ArrayLike} arr Array or array like object over
 *     which to iterate whose elements will be the values in the new object.
 * @param {?function(this:S, T, number, ?) : string} keyFunc The function to
 *     call for every element. This function takes 3 arguments (the element, the
 *     index and the array) and should return a string that will be used as the
 *     key for the element in the new object. If the function returns the same
 *     key for more than one element, the value for that key is
 *     implementation-defined.
 * @param {S=} opt_obj The object to be used as the value of 'this'
 *     within keyFunc.
 * @return {!Object.<T>} The new object.
 * @template T,S
 */
goog.array.toObject = function(arr, keyFunc, opt_obj) {
  var ret = {};
  goog.array.forEach(arr, function(element, index) {
    ret[keyFunc.call(opt_obj, element, index, arr)] = element;
  });
  return ret;
};
/**
 * Creates a range of numbers in an arithmetic progression.
 *
 * Range takes 1, 2, or 3 arguments:
 * <pre>
 * range(5) is the same as range(0, 5, 1) and produces [0, 1, 2, 3, 4]
 * range(2, 5) is the same as range(2, 5, 1) and produces [2, 3, 4]
 * range(-2, -5, -1) produces [-2, -3, -4]
 * range(-2, -5, 1) produces [], since stepping by 1 wouldn't ever reach -5.
 * </pre>
 *
 * @param {number} startOrEnd The starting value of the range if an end argument
 *     is provided. Otherwise, the start value is 0, and this is the end value.
 * @param {number=} opt_end The optional end value of the range.
 * @param {number=} opt_step The step size between range values. Defaults to 1
 *     if opt_step is undefined or 0.
 * @return {!Array.<number>} An array of numbers for the requested range. May be
 *     an empty array if adding the step would not converge toward the end
 *     value.
 */
goog.array.range = function(startOrEnd, opt_end, opt_step) {
  var array = [];
  var start = 0;
  var end = startOrEnd;
  var step = opt_step || 1;
  if (opt_end !== undefined) {
    start = startOrEnd;
    end = opt_end;
  }
  if (step * (end - start) < 0) {
    // Sign mismatch: start + step will never reach the end value.
    return [];
  }
  if (step > 0) {
    for (var i = start; i < end; i += step) {
      array.push(i);
    }
  } else {
    for (var i = start; i > end; i += step) {
      array.push(i);
    }
  }
  return array;
};
/**
 * Returns an array consisting of the given value repeated N times.
 *
 * @param {*} value The value to repeat.
 * @param {number} n The repeat count.
 * @return {!Array} An array with the repeated value.
 */
goog.array.repeat = function(value, n) {
  var array = [];
  for (var i = 0; i < n; i++) {
    array[i] = value;
  }
  return array;
};
/**
 * Returns an array consisting of every argument with all arrays
 * expanded in-place recursively.
 *
 * @param {...*} var_args The values to flatten.
 * @return {!Array} An array containing the flattened values.
 */
goog.array.flatten = function(var_args) {
  var result = [];
  for (var i = 0; i < arguments.length; i++) {
    var element = arguments[i];
    if (goog.isArray(element)) {
      result.push.apply(result, goog.array.flatten.apply(null, element));
    } else {
      result.push(element);
    }
  }
  return result;
};
/**
 * Rotates an array in-place. After calling this method, the element at
 * index i will be the element previously at index (i - n) %
 * array.length, for all values of i between 0 and array.length - 1,
 * inclusive.
 *
 * For example, suppose list comprises [t, a, n, k, s]. After invoking
 * rotate(array, 1) (or rotate(array, -4)), array will comprise [s, t, a, n, k].
 *
 * @param {!Array.<T>} array The array to rotate.
 * @param {number} n The amount to rotate.
 * @return {!Array.<T>} The array.
 * @template T
 */
goog.array.rotate = function(array, n) {
  goog.asserts.assert(array.length != null);
  if (array.length) {
    n %= array.length;
    if (n > 0) {
      goog.array.ARRAY_PROTOTYPE_.unshift.apply(array, array.splice(-n, n));
    } else if (n < 0) {
      goog.array.ARRAY_PROTOTYPE_.push.apply(array, array.splice(0, -n));
    }
  }
  return array;
};
/**
 * Creates a new array for which the element at position i is an array of the
 * ith element of the provided arrays.  The returned array will only be as long
 * as the shortest array provided; additional values are ignored.  For example,
 * the result of zipping [1, 2] and [3, 4, 5] is [[1,3], [2, 4]].
 *
 * This is similar to the zip() function in Python.  See {@link
 * http://docs.python.org/library/functions.html#zip}
 *
 * @param {...!goog.array.ArrayLike} var_args Arrays to be combined.
 * @return {!Array.<!Array>} A new array of arrays created from provided arrays.
 */
goog.array.zip = function(var_args) {
  if (!arguments.length) {
    return [];
  }
  var result = [];
  for (var i = 0; true; i++) {
    var value = [];
    for (var j = 0; j < arguments.length; j++) {
      var arr = arguments[j];
      // If i is larger than the array length, this is the shortest array.
      if (i >= arr.length) {
        return result;
      }
      value.push(arr[i]);
    }
    result.push(value);
  }
};
/**
 * Shuffles the values in the specified array using the Fisher-Yates in-place
 * shuffle (also known as the Knuth Shuffle). By default, calls Math.random()
 * and so resets the state of that random number generator. Similarly, may reset
 * the state of the any other specified random number generator.
 *
 * Runtime: O(n)
 *
 * @param {!Array} arr The array to be shuffled.
 * @param {function():number=} opt_randFn Optional random function to use for
 *     shuffling.
 *     Takes no arguments, and returns a random number on the interval [0, 1).
 *     Defaults to Math.random() using JavaScript's built-in Math library.
 */
goog.array.shuffle = function(arr, opt_randFn) {
  var randFn = opt_randFn || Math.random;
  for (var i = arr.length - 1; i > 0; i--) {
    // Choose a random array index in [0, i] (inclusive with i).
    var j = Math.floor(randFn() * (i + 1));
    var tmp = arr[i];
    arr[i] = arr[j];
    arr[j] = tmp;
  }
};