Split a collection into `n` parts with LINQ?

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Is there a nice way to split a collection into n parts with LINQ? Not necessarily evenly of course.

That is, I want to divide the collection into sub-collections, which each contains a subset of the elements, where the last collection can be ragged.

21 Answers

A pure linq and the simplest solution is as shown below.

static class LinqExtensions
{
    public static IEnumerable<IEnumerable<T>> Split<T>(this IEnumerable<T> list, int parts)
    {
        int i = 0;
        var splits = from item in list
                     group item by i++ % parts into part
                     select part.AsEnumerable();
        return splits;
    }
}

EDIT: Okay, it looks like I misread the question. I read it as "pieces of length n" rather than "n pieces". Doh! Considering deleting answer...

(Original answer)

I don't believe there's a built-in way of partitioning, although I intend to write one in my set of additions to LINQ to Objects. Marc Gravell has an implementation here although I would probably modify it to return a read-only view:

public static IEnumerable<IEnumerable<T>> Partition<T>
    (this IEnumerable<T> source, int size)
{
    T[] array = null;
    int count = 0;
    foreach (T item in source)
    {
        if (array == null)
        {
            array = new T[size];
        }
        array[count] = item;
        count++;
        if (count == size)
        {
            yield return new ReadOnlyCollection<T>(array);
            array = null;
            count = 0;
        }
    }
    if (array != null)
    {             
        Array.Resize(ref array, count);
        yield return new ReadOnlyCollection<T>(array);
    }
}

I have been using the Partition function I posted earlier quite often. The only bad thing about it was that is wasn't completely streaming. This is not a problem if you work with few elements in your sequence. I needed a new solution when i started working with 100.000+ elements in my sequence.

The following solution is a lot more complex (and more code!), but it is very efficient.

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Collections;

namespace LuvDaSun.Linq
{
    public static class EnumerableExtensions
    {
        public static IEnumerable<IEnumerable<T>> Partition<T>(this IEnumerable<T> enumerable, int partitionSize)
        {
            /*
            return enumerable
                .Select((item, index) => new { Item = item, Index = index, })
                .GroupBy(item => item.Index / partitionSize)
                .Select(group => group.Select(item => item.Item)                )
                ;
            */

            return new PartitioningEnumerable<T>(enumerable, partitionSize);
        }

    }


    class PartitioningEnumerable<T> : IEnumerable<IEnumerable<T>>
    {
        IEnumerable<T> _enumerable;
        int _partitionSize;
        public PartitioningEnumerable(IEnumerable<T> enumerable, int partitionSize)
        {
            _enumerable = enumerable;
            _partitionSize = partitionSize;
        }

        public IEnumerator<IEnumerable<T>> GetEnumerator()
        {
            return new PartitioningEnumerator<T>(_enumerable.GetEnumerator(), _partitionSize);
        }

        IEnumerator IEnumerable.GetEnumerator()
        {
            return GetEnumerator();
        }
    }


    class PartitioningEnumerator<T> : IEnumerator<IEnumerable<T>>
    {
        IEnumerator<T> _enumerator;
        int _partitionSize;
        public PartitioningEnumerator(IEnumerator<T> enumerator, int partitionSize)
        {
            _enumerator = enumerator;
            _partitionSize = partitionSize;
        }

        public void Dispose()
        {
            _enumerator.Dispose();
        }

        IEnumerable<T> _current;
        public IEnumerable<T> Current
        {
            get { return _current; }
        }
        object IEnumerator.Current
        {
            get { return _current; }
        }

        public void Reset()
        {
            _current = null;
            _enumerator.Reset();
        }

        public bool MoveNext()
        {
            bool result;

            if (_enumerator.MoveNext())
            {
                _current = new PartitionEnumerable<T>(_enumerator, _partitionSize);
                result = true;
            }
            else
            {
                _current = null;
                result = false;
            }

            return result;
        }

    }



    class PartitionEnumerable<T> : IEnumerable<T>
    {
        IEnumerator<T> _enumerator;
        int _partitionSize;
        public PartitionEnumerable(IEnumerator<T> enumerator, int partitionSize)
        {
            _enumerator = enumerator;
            _partitionSize = partitionSize;
        }

        public IEnumerator<T> GetEnumerator()
        {
            return new PartitionEnumerator<T>(_enumerator, _partitionSize);
        }

        IEnumerator IEnumerable.GetEnumerator()
        {
            return GetEnumerator();
        }
    }


    class PartitionEnumerator<T> : IEnumerator<T>
    {
        IEnumerator<T> _enumerator;
        int _partitionSize;
        int _count;
        public PartitionEnumerator(IEnumerator<T> enumerator, int partitionSize)
        {
            _enumerator = enumerator;
            _partitionSize = partitionSize;
        }

        public void Dispose()
        {
        }

        public T Current
        {
            get { return _enumerator.Current; }
        }
        object IEnumerator.Current
        {
            get { return _enumerator.Current; }
        }
        public void Reset()
        {
            if (_count > 0) throw new InvalidOperationException();
        }

        public bool MoveNext()
        {
            bool result;

            if (_count < _partitionSize)
            {
                if (_count > 0)
                {
                    result = _enumerator.MoveNext();
                }
                else
                {
                    result = true;
                }
                _count++;
            }
            else
            {
                result = false;
            }

            return result;
        }

    }
}

Enjoy!

Interesting thread. To get a streaming version of Split/Partition, one can use enumerators and yield sequences from the enumerator using extension methods. Converting imperative code to functional code using yield is a very powerful technique indeed.

First an enumerator extension that turns a count of elements into a lazy sequence:

public static IEnumerable<T> TakeFromCurrent<T>(this IEnumerator<T> enumerator, int count)
{
    while (count > 0)
    {
        yield return enumerator.Current;
        if (--count > 0 && !enumerator.MoveNext()) yield break;
    }
}

And then an enumerable extension that partitions a sequence:

public static IEnumerable<IEnumerable<T>> Partition<T>(this IEnumerable<T> seq, int partitionSize)
{
    var enumerator = seq.GetEnumerator();

    while (enumerator.MoveNext())
    {
        yield return enumerator.TakeFromCurrent(partitionSize);
    }
}

The end result is a highly efficient, streaming and lazy implementation that relies on very simple code.

Enjoy!

I use this:

public static IEnumerable<IEnumerable<T>> Partition<T>(this IEnumerable<T> instance, int partitionSize)
{
    return instance
        .Select((value, index) => new { Index = index, Value = value })
        .GroupBy(i => i.Index / partitionSize)
        .Select(i => i.Select(i2 => i2.Value));
}

Great Answers, for my scenario i tested the accepted answer , and it seems it does not keep order. there is also great answer by Nawfal that keeps order. But in my scenario i wanted to split the remainder in a normalized way, all answers i saw spread the remainder or at the beginning or at the end.

My answer also takes the remainder spreading in more normalized way.

 static class Program
{          
    static void Main(string[] args)
    {
        var input = new List<String>();
        for (int k = 0; k < 18; ++k)
        {
            input.Add(k.ToString());
        }
        var result = splitListIntoSmallerLists(input, 15);            
        int i = 0;
        foreach(var resul in result){
            Console.WriteLine("------Segment:" + i.ToString() + "--------");
            foreach(var res in resul){
                Console.WriteLine(res);
            }
            i++;
        }
        Console.ReadLine();
    }

    private static List<List<T>> splitListIntoSmallerLists<T>(List<T> i_bigList,int i_numberOfSmallerLists)
    {
        if (i_numberOfSmallerLists <= 0)
            throw new ArgumentOutOfRangeException("Illegal value of numberOfSmallLists");

        int normalizedSpreadRemainderCounter = 0;
        int normalizedSpreadNumber = 0;
        //e.g 7 /5 > 0 ==> output size is 5 , 2 /5 < 0 ==> output is 2          
        int minimumNumberOfPartsInEachSmallerList = i_bigList.Count / i_numberOfSmallerLists;                        
        int remainder = i_bigList.Count % i_numberOfSmallerLists;
        int outputSize = minimumNumberOfPartsInEachSmallerList > 0 ? i_numberOfSmallerLists : remainder;
        //In case remainder > 0 we want to spread the remainder equally between the others         
        if (remainder > 0)
        {
            if (minimumNumberOfPartsInEachSmallerList > 0)
            {
                normalizedSpreadNumber = (int)Math.Floor((double)i_numberOfSmallerLists / remainder);    
            }
            else
            {
                normalizedSpreadNumber = 1;
            }   
        }
        List<List<T>> retVal = new List<List<T>>(outputSize);
        int inputIndex = 0;            
        for (int i = 0; i < outputSize; ++i)
        {
            retVal.Add(new List<T>());
            if (minimumNumberOfPartsInEachSmallerList > 0)
            {
                retVal[i].AddRange(i_bigList.GetRange(inputIndex, minimumNumberOfPartsInEachSmallerList));
                inputIndex += minimumNumberOfPartsInEachSmallerList;
            }
            //If we have remainder take one from it, if our counter is equal to normalizedSpreadNumber.
            if (remainder > 0)
            {
                if (normalizedSpreadRemainderCounter == normalizedSpreadNumber-1)
                {
                    retVal[i].Add(i_bigList[inputIndex]);
                    remainder--;
                    inputIndex++;
                    normalizedSpreadRemainderCounter=0;
                }
                else
                {
                    normalizedSpreadRemainderCounter++;
                }
            }
        }
        return retVal;
    }      

}

If order in these parts is not very important you can try this:

int[] array = new int[] { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 };
int n = 3;

var result =
   array.Select((value, index) => new { Value = value, Index = index }).GroupBy(i => i.Index % n, i => i.Value);

// or
var result2 =
   from i in array.Select((value, index) => new { Value = value, Index = index })
   group i.Value by i.Index % n into g
   select g;

However these can't be cast to IEnumerable<IEnumerable<int>> by some reason...

This is my code, nice and short.

 <Extension()> Public Function Chunk(Of T)(ByVal this As IList(Of T), ByVal size As Integer) As List(Of List(Of T))
     Dim result As New List(Of List(Of T))
     For i = 0 To CInt(Math.Ceiling(this.Count / size)) - 1
         result.Add(New List(Of T)(this.GetRange(i * size, Math.Min(size, this.Count - (i * size)))))
     Next
     Return result
 End Function

below code returns both given number of chunks also with sorted data

    static IEnumerable<IEnumerable<T>> SplitSequentially<T>(int chunkParts, List<T> inputList)
    {
        List<int> Splits = split(inputList.Count, chunkParts);

        var skipNumber = 0;
        List<List<T>> list = new List<List<T>>();
        foreach (var count in Splits)
        {
            var internalList = inputList.Skip(skipNumber).Take(count).ToList();
            list.Add(internalList);
            skipNumber += count;
        }
        return list;
    }
    static List<int> split(int x, int n)
    {
        List<int> list = new List<int>();

        if (x % n == 0)
        {
            for (int i = 0; i < n; i++)
                list.Add(x / n);
        }
        else
        {

            // upto n-(x % n) the values 
            // will be x / n 
            // after that the values 
            // will be x / n + 1 
            int zp = n - (x % n);
            int pp = x / n;
            for (int i = 0; i < n; i++)
            {

                if (i >= zp)
                    list.Add((pp + 1));
                else
                    list.Add(pp);
            }
        }
        return list;
    }
int[] items = new int[] { 0,1,2,3,4,5,6,7,8,9, 10 };

int itemIndex = 0;
int groupSize = 2;
int nextGroup = groupSize;

var seqItems = from aItem in items
               group aItem by 
                            (itemIndex++ < nextGroup) 
                            ? 
                            nextGroup / groupSize
                            :
                            (nextGroup += groupSize) / groupSize
                            into itemGroup
               select itemGroup.AsEnumerable();
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