From time to time we run into tasks that we would like to solve in LINQ style but unfortunately it either cannot be done or a solution is not efficient.

Note that by LINQ style we do not mean C# query expressions (we have a strong distaste for that syntax) but extension methods defined in System.Linq.Enumerable and other classes.

Here we quote several extension methods that are good for a general use:

1. Select with predicate. This is shorthand of items.Where(...).Select(...):

/// <summary>
/// Projects each element of a sequence into a new form.
/// </summary>
/// <typeparam name="T">A type of elements of source sequence.</typeparam>
/// <typeparam name="R">A type of elements of target sequence.</typeparam>
/// <param name="source">A source sequence.</param>
/// <param name="where">A predicate to filter elements.</param>
/// <param name="selector">A result element selector.</param>
/// <returns>A target sequence.</returns>
public static IEnumerable<R> Select<T, R>(
  this IEnumerable<T> source,
  Func<T, bool> where,
  Func<T, R> selector)
{
  return source.Where(where).Select(selector);
}

2. Select with predicate with source element index passed both into the predicate and into the selector. This one you cannot trivially implement in LINQ:

/// <summary>
/// Projects each element of a sequence into a new form.
/// </summary>
/// <typeparam name="T">A type of elements of source sequence.</typeparam>
/// <typeparam name="R">A type of elements of target sequence.</typeparam>
/// <param name="source">A source sequence.</param>
/// <param name="where">A predicate to filter elements.</param>
/// <param name="selector">A result element selector.</param>
/// <returns>A target sequence.</returns>
public static IEnumerable<R> Select<T, R>(
  this IEnumerable<T> source,
  Func<T, int, bool> where,
  Func<T, int, R> selector)
{
  var index = 0;

  foreach(var value in source)
  {
    if (where(value, index))
    {
      yield return selector(value, index);
    }

    ++index;
  }
}

3. A function with output element as projection of a window of input elements. Such function can be used to get finite difference (operation opposite to a cumulative sum).

/// <summary>
/// Projects a window of source elements in a source sequence into target sequence.
/// Thus
///   target[i] =
///     selector(source[i], source[i - 1], ... source[i - window + 1])
/// </summary>
/// <typeparam name="T">A type of elements of source sequence.</typeparam>
/// <typeparam name="R">A type of elements of target sequence.</typeparam>
/// <param name="source">A source sequence.</param>
/// <param name="window">A size of window.</param>
/// <param name="lookbehind">
/// Indicate whether to produce target if the number of source elements
/// preceeding the current is less than the window size.
/// </param>
/// <param name="lookahead">
/// Indicate whether to produce target if the number of source elements
/// following current is less than the window size.
/// </param>
/// <param name="selector">
/// A selector that derives target element.
/// On input it receives:
///   an array of source elements stored in round-robing fashon;
///   an index of the first element;
///   a number of elements in the array to count.
/// </param>
/// <returns>Returns a sequence of target elements.</returns>
public static IEnumerable<R> Window<T, R>(
  this IEnumerable<T> source,
  int window,
  bool lookbehind,
  bool lookahead,
  Func<T[], int, int, R> selector)
{
  var buffer = new T[window];
  var index = 0;
  var count = 0;

  foreach(var value in source)
  {
    if (count < window)
    {
      buffer[count++] = value;

      if (lookbehind || (count == window))
      {
        yield return selector(buffer, 0, count);
      }
    }
    else
    {
      buffer[index] = value;
      index = index + 1 == window ? 0 : index + 1;

      yield return selector(buffer, index, count);
    }
  }

  if (lookahead)
  {
    while(--count > 0)
    {
      index = index + 1 == window ? 0 : index + 1;

      yield return selector(buffer, index, count);
    }
  }
}

This way a finite difference looks like this:

var diff = input.Window(
  2,
  false,
  false,
  (buffer, index, count) => buffer[index ^ 1] - buffer[index]);

4. A specialization of Window method that returns a enumeration of windows:

/// <summary>
/// Projects a window of source elements in a source sequence into a
/// sequence of window arrays.
/// </summary>
/// <typeparam name="T">A type of elements of source sequence.</typeparam>
/// <typeparam name="R">A type of elements of target sequence.</typeparam>
/// <param name="source">A source sequence.</param>
/// <param name="window">A size of window.</param>
/// <param name="lookbehind">
/// Indicate whether to produce target if the number of source elements
/// preceeding the current is less than the window size.
/// </param>
/// <param name="lookahead">
/// Indicate whether to produce target if the number of source elements
/// following current is less than the window size.
/// </param>
/// <returns>Returns a sequence of windows.</returns>
public static IEnumerable<T[]> Window<T>(
  this IEnumerable<T> source,
  int window,
  bool lookbehind,
  bool lookahead)
{
  return source.Window(
    window,
    lookbehind,
    lookahead,
    (buffer, index, count) =>
    {
      var result = new T[count];

      for(var i = 0; i < count; ++i)
      {
        result[i] = buffer[index];
        index = index + 1 == buffer.Length ? 0 : index + 1;
      }

     return result;
   });
}