Converts specified value to nullable value.

   
 
#region License
// Copyright (c) 2007 James Newton-King
//
// Permission is hereby granted, free of charge, to any person
// obtaining a copy of this software and associated documentation
// files (the "Software"), to deal in the Software without
// restriction, including without limitation the rights to use,
// copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following
// conditions:
//
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
// OTHER DEALINGS IN THE SOFTWARE.
#endregion

using System;
using System.Collections.Generic;
using System.Text;
using System.Configuration;
using System.Data.SqlTypes;

namespace Newtonsoft.Utilities.Database
{
  public static class DatabaseUtils
  {
    /// <summary>
    /// Converts specified value to nullable value.
    /// </summary>
    /// <param name="value">The value.</param>
    /// <returns></returns>
    public static T? ConvertToNullableValue<T>(object value) where T : struct
    {
      if (value == null)
      {
        return null;
      }
      else if (value == DBNull.Value)
      {
        return null;
      }
      else if (value is string &amp;&amp; string.IsNullOrEmpty((string)value))
      {
        return null;
      }
      else
      {
        if (!(value is T))
        {
          try
          {
            value = Convert.ChangeType(value, typeof(T));
          }
          catch (Exception e)
          {
            throw new ArgumentException("Value is not a valid type.", "value", e);
          }
        }

        return new T?((T)value);
      }
    }

    /// <summary>
    /// Determines whether the specified value is null.
    /// </summary>
    /// <param name="value">The value.</param>
    /// <returns>
    ///   <c>true</c> if the specified value is null; otherwise, <c>false</c>.
    /// </returns>
    public static bool IsNull(object value)
    {
      if (value == null)
        return true;

      if (value is INullable &amp;&amp; ((INullable)value).IsNull)
        return true;

      if (value == DBNull.Value)
        return true;

      return false;
    }
  }
}

   
     


Determines whether the specified value is null.

   
 
#region License
// Copyright (c) 2007 James Newton-King
//
// Permission is hereby granted, free of charge, to any person
// obtaining a copy of this software and associated documentation
// files (the "Software"), to deal in the Software without
// restriction, including without limitation the rights to use,
// copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following
// conditions:
//
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
// OTHER DEALINGS IN THE SOFTWARE.
#endregion

using System;
using System.Data.SqlTypes;

namespace Newtonsoft.Utilities.Database
{
  public static class SqlUtils
  {
    public static object ToValue(INullable nullableValue)
    {
      if (nullableValue == null)
        return null;
      else if (nullableValue is SqlInt32)
        return ToValue((SqlInt32)nullableValue);
      else if (nullableValue is SqlInt64)
        return ToValue((SqlInt64)nullableValue);
      else if (nullableValue is SqlBoolean)
        return ToValue((SqlBoolean)nullableValue);
      else if (nullableValue is SqlString)
        return ToValue((SqlString)nullableValue);
      else if (nullableValue is SqlDateTime)
        return ToValue((SqlDateTime)nullableValue);

      throw new Exception(string.Format("Unsupported INullable type: {0}", nullableValue.GetType()));
    }
    /// <summary>
    /// Determines whether the specified value is null.
    /// </summary>
    /// <param name="value">The value.</param>
    /// <returns>
    ///   <c>true</c> if the specified value is null; otherwise, <c>false</c>.
    /// </returns>
    public static bool IsNull(object value)
    {
      if (value == null)
        return true;

      if (value is INullable &amp;&amp; ((INullable)value).IsNull)
        return true;

      if (value == DBNull.Value)
        return true;

      return false;
    }
    /// <summary>
    /// Converts SqlType to .NET value.
    /// </summary>
    /// <param name="sqlValue">The SQL value.</param>
    /// <returns></returns>
    public static int? ToValue(SqlInt32 sqlValue)
    {
      if (IsNull(sqlValue))
        return null;
      else
        return sqlValue.Value;
    }

    /// <summary>
    /// Converts SqlType to .NET value.
    /// </summary>
    /// <param name="sqlValue">The SQL value.</param>
    /// <returns></returns>
    public static long? ToValue(SqlInt64 sqlValue)
    {
      if (IsNull(sqlValue))
        return null;
      else
        return sqlValue.Value;
    }

    /// <summary>
    /// Converts SqlType to .NET value.
    /// </summary>
    /// <param name="sqlValue">The SQL value.</param>
    /// <returns></returns>
    public static string ToValue(SqlString sqlValue)
    {
      if (IsNull(sqlValue))
        return null;
      else
        return sqlValue.Value;
    }

    /// <summary>
    /// Converts SqlType to .NET value.
    /// </summary>
    /// <param name="sqlValue">The SQL value.</param>
    /// <returns></returns>
    public static DateTime? ToValue(SqlDateTime sqlValue)
    {
      if (IsNull(sqlValue))
        return null;
      else
        return sqlValue.Value;
    }

    /// <summary>
    /// Converts SqlType to .NET value.
    /// </summary>
    /// <param name="sqlValue">The SQL value.</param>
    /// <returns></returns>
    public static bool? ToValue(SqlBoolean sqlValue)
    {
      if (IsNull(sqlValue))
        return null;
      else
        return sqlValue.Value;
    }

    public static T? ToValue<T>(object value) where T : struct
    {
      if (IsNull(value))
        return null;
      else
        return new T?((T)value);
    }

    public static SqlInt32 FromValue(int? nullableValue)
    {
      return (nullableValue != null) ? new SqlInt32(nullableValue.Value) : new SqlInt32();
    }

    public static SqlDateTime FromValue(DateTime? nullableValue)
    {
      return (nullableValue != null) ? new SqlDateTime(nullableValue.Value) : new SqlDateTime();
    }

    public static SqlBoolean FromValue(bool? nullableValue)
    {
      return (nullableValue != null) ? new SqlBoolean(nullableValue.Value) : new SqlBoolean();
    }
  }
}

   
     


Checks if a value is in a range (inclusive)

   
 

//http://isotopescreencapture.codeplex.com/
//The MIT License (MIT)
namespace Isotope.Math
{
    public static class MathUtil
    {
        /// <summary>
        /// Checks if a value is in a range (inclusive)
        /// </summary>
        /// <param name="val"></param>
        /// <param name="min"></param>
        /// <param name="max"></param>
        /// <returns></returns>
        public static bool IsInRange(double val, double min, double max)
        {
            return ((min <= val) &amp;&amp; (val <= max));
        }

        /// <summary>
        /// Checks if a value is in the range 0.0 to 1.0 inclusive
        /// </summary>
        /// <param name="val"></param>
        /// <returns></returns>
        public static bool IsInRange_0_1(double val)
        {
            return IsInRange(val, 0.0, 1.0);
        }
    }
}

   
     


Sparse Int Range

//http://isotopescreencapture.codeplex.com/
//The MIT License (MIT)
using System.Collections.Generic;
using System.Linq;

namespace Isotope.Collections.Ranges
{
public static partial class EnumerableUtil
{
public static IEnumerable Single(T item)
{
yield return item;
}

///

/// Given a range (start,end) and a number of steps, will yield that a number for each step
///

/// /// /// ///
public static IEnumerable RangeSteps(double start, double end, int steps)
{
// for non-positive number of steps, yield no points
if (steps < 1) { yield break; } // for exactly 1 step, yield the start value if (steps == 1) { yield return start; yield break; } // for exactly 2 stesp, yield the start value, and then the end value if (steps == 2) { yield return start; yield return end; yield break; } // for 3 steps or above, start yielding the segments // notice that the start and end values are explicitly returned so that there // is no possibility of rounding error affecting their values int segments = steps - 1; double total_length = end - start; double stepsize = total_length / segments; yield return start; for (int i = 1; i < (steps - 1); i++) { double p = start + (stepsize * i); yield return p; } yield return end; } public static IEnumerable GroupByCount(
IEnumerable items,
int group_size,
System.Func func_new_col,
System.Action func_add) where TGROUP : class
{

if (items == null)
{
throw new System.ArgumentNullException(“items”);
}

if (group_size < 1) { throw new System.ArgumentOutOfRangeException("group_size"); } if (func_new_col == null) { throw new System.ArgumentNullException("func_new_col"); } if (func_add == null) { throw new System.ArgumentNullException("func_add"); } int cur_group_size = 0; TGROUP cur_group = null; foreach (var item in items) { if (cur_group_size == 0) { if (cur_group == null) { cur_group = func_new_col(group_size); } else { throw new System.InvalidOperationException(); } } func_add(cur_group, cur_group_size, item); cur_group_size++; if (cur_group_size == group_size) { yield return cur_group; cur_group = null; cur_group_size = 0; } } if (cur_group_size > 0)
{
if (cur_group == null)
{
throw new System.InvalidOperationException();
}
yield return cur_group;
}

}

public static IEnumerable GroupByCount(ICollection items, ICollection group_sizes, System.Func func_new_col, System.Action func_add)
{

if (items == null)
{
throw new System.ArgumentNullException(“items”);
}

if (group_sizes == null)
{
throw new System.ArgumentNullException(“group_sizes”);
}

if (func_new_col == null)
{
throw new System.ArgumentNullException(“func_new_col”);
}

if (func_add == null)
{
throw new System.ArgumentNullException(“func_add”);
}

int total_group_sizes = group_sizes.Sum();
if (total_group_sizes != items.Count)
{
throw new System.ArgumentException(“group_sizes must account for all items”);
}

int items_added = 0;
for (int group_index = 0; group_index < group_sizes.Count; group_index++) { int cur_group_size = group_sizes.ElementAt(group_index); if (cur_group_size < 0) { throw new System.ArgumentException("group_sizes contains a negative numver"); } var cur_group = func_new_col(cur_group_size); for (int row_index = 0; row_index < cur_group_size; row_index++) { var cur_item = items.ElementAt(items_added); func_add(cur_group, row_index, cur_item); items_added++; } yield return cur_group; } } public static IDictionary> Bucketize(IEnumerable items, System.Func func_get_key, IEqualityComparer ieq)
{
if (items == null)
{
throw new System.ArgumentNullException(“items”);
}

if (func_get_key == null)
{
throw new System.ArgumentNullException(“func_get_key”);
}

var dic = new Dictionary>(ieq);
foreach (var item in items)
{
var key = func_get_key(item);
List list = null;
bool found = dic.TryGetValue(key, out list);
if (!found)
{
list = new List();
dic[key] = list;
}
list.Add(item);

}

return dic;
}

public static IDictionary> Bucketize(IEnumerable items, System.Func func_get_key)
{
IEqualityComparer ieq = null;
return Bucketize(items, func_get_key, ieq);
}

public static IDictionary Histogram(IEnumerable items, System.Func func_get_key, IEqualityComparer ieq)
{
if (items == null)
{
throw new System.ArgumentNullException(“items”);
}

if (func_get_key == null)
{
throw new System.ArgumentNullException(“func_get_key”);
}

var dic = new Dictionary(ieq);
foreach (var item in items)
{
var key = func_get_key(item);
int old_value = 0;
bool found = dic.TryGetValue(key, out old_value);
if (!found)
{
dic[key] = 1;
}
else
{
dic[key] = old_value + 1;
}

}

return dic;
}

public static IDictionary Histogram(IEnumerable items)
{
var dic = Histogram(items, i => i, null);
return dic;
}

public static List> Chunkify(IEnumerable items, int chunksize)
{
var chunks = new List>();
List cur_chunk = null;
Chunkify(items, chunksize,
() =>
{
cur_chunk = new List(chunksize); chunks.Add(cur_chunk);
},
item =>
{
cur_chunk.Add(item);
});

return chunks;
}

public static void Chunkify(IEnumerable items, int chunksize, System.Action create_chunk, System.Action add_item)
{
if (items == null)
{
throw new System.ArgumentNullException(“items”);
}

if (chunksize < 1) { throw new System.ArgumentOutOfRangeException("chunksize"); } int item_count = 0; int curchunk_size = 0; foreach (T item in items) { if ((item_count % chunksize) == 0) { create_chunk(); curchunk_size = 0; } add_item(item); item_count++; curchunk_size++; } } } public struct IntRange { public readonly int _Lower; public readonly int _Length; public int Lower { get { return this._Lower; } } public int Upper { get { return this.Lower + this.Length - 1; } } public int Length { get { return this._Length; } } private IntRange(int lower, int length) { this._Lower = lower; this._Length = length; if (this.Lower > this.Upper)
{
throw new System.OverflowException();
}
}

///

/// Creates a range from the lower and upper values
///

///
/// (0,0) -> [0]
/// (0,1) -> [0,1]
/// (0,5) -> [0,1,2,3,4,5]
/// (2,5) -> [2,3,4,5]
///

/// /// ///
public static IntRange FromEndpoints(int lower, int upper)
{
return new IntRange(lower, upper – lower + 1);
}

///

/// Creates a range of a single number
///

///
///
///
public static IntRange FromInteger(int value)
{
return new IntRange(value, 1);
}

///

/// Creates a new range from a starting value and including all the numbers following that
///

///
/// (2,0) -> []
/// (2,1) -> [2]
/// (2,2) -> [2,3]
/// (2,3) -> [2,3,4]
/// (2,4) -> [2,3,4,5]
///

/// /// ///
public static IntRange FromLower(int lower, int length)
{
if (length < 0) { throw new System.ArgumentOutOfRangeException("length", "must be >= 0″);
}

return new IntRange(lower, length);
}

public override string ToString()
{
var invariant_culture = System.Globalization.CultureInfo.InvariantCulture;
return string.Format(invariant_culture, “Range({0},{1})”, this.Lower, this.Upper);
}

private static bool _intersects(IntRange range1, IntRange range2)
{
return ((range1.Lower <= range2.Lower) && (range1.Upper >= range2.Lower));
}

///

/// Tests if this range interests with another
///

/// the other range /// true if they intersect
public bool Intersects(IntRange range)
{
return (_intersects(this, range) || _intersects(range, this));
}

private static int Delta = 1;

private static bool _touches(IntRange range1, IntRange range2)
{
var val = (range1.Upper + Delta) == range2.Lower;
return val;
}

///

/// Tests if this range touches another. For example (1-2) touches (3,5) but (1,2) does not touch (4,5)
///

/// the other range /// true if they touch
public bool Touches(IntRange range)
{
var val = _touches(this, range) || _touches(range, this);
return val;
}

///

/// Tests if this range contains a specific integer
///

/// the integet /// true if the number is contained
public bool Contains(int n)
{
return ((this.Lower <= n) && (n <= this.Upper)); } ///

/// Join this range with another and return a single range that contains them both. The ranges must either touch or interest.
/// for example (0,2) amd (3,7) will yield (0,7)
///

/// the other range /// the merged range
public IntRange JoinWith(IntRange range)
{
if (this.Intersects(range) || this.Touches(range))
{
int new_Upper = System.Math.Max(this.Upper, range.Upper);
int new_Lower = System.Math.Min(this.Lower, range.Lower);
return IntRange.FromEndpoints(new_Lower, new_Upper);
}
else
{
throw new System.ArgumentException();
}
}

///

/// Get each int int he range from the lower value to the upper value
///

/// each int in the range
public IEnumerable Values
{
get
{
for (int i = this.Lower; i <= this.Upper; i++) { yield return i; } } } } public class SparseIntRange { private List ranges;

public SparseIntRange()
{
this.clear();
}

public IEnumerable Ranges
{
get
{
foreach (var range in this.ranges)
{
yield return range;
}
}
}

public IEnumerable Values
{
get
{
foreach (var rng in this.Ranges)
{
foreach (int i in rng.Values)
{
yield return i;
}
}
}
}

private void clear()
{
this.ranges = new List();
}

public int RangeCount
{
get { return this.ranges.Count; }
}

public void Add(int n)
{
var rng = IntRange.FromInteger(n);
this.Add(rng);
}

public void AddInclusive(int lower, int upper)
{
var rng = IntRange.FromEndpoints(lower, upper);
this.Add(rng);
}

public void Add(IntRange range)
{
var left = new List();
var right = new List();
foreach (var rng in this.ranges)
{
if (range.Intersects(rng) || range.Touches(rng))
{
range = range.JoinWith(rng);
}
else if (rng.Upper < range.Lower) { left.Add(rng); } else if (range.Upper < rng.Lower) { right.Add(rng); } else { throw new System.InvalidOperationException("Internal Error"); } } this.ranges = left.Concat(EnumerableUtil.Single(range)).Concat(right).ToList(); } public int Lower { get { if (this.ranges.Count < 1) { throw new System.InvalidOperationException("There are no ranges"); } return this.ranges[0].Lower; } } public int Upper { get { if (this.ranges.Count < 1) { throw new System.InvalidOperationException("empty"); } return this.ranges[this.ranges.Count - 1].Upper; } } public int Count { get { int length = this.ranges.Aggregate(0, (old, rng) => old + rng.Length);
return length;
}
}

public void Remove(int value)
{
var rng = IntRange.FromInteger(value);
this.Remove(rng);
}

public void RemoveInclusive(int lower, int upper)
{
var rng = IntRange.FromEndpoints(lower, upper);
this.Remove(rng);
}

public void Remove(IntRange range)
{
// if the range doesn't intersect this collection do nothing
if (!range.Intersects(IntRange.FromEndpoints(this.Lower, this.Upper)))
{
return;
}

var middle = new List();

foreach (var S in this.ranges)
{
if (!range.Intersects(S))
{
middle.Add(S);
continue;
}

if ((range.Lower <= S.Lower) && (range.Upper >= S.Upper))
{
// disregard S completely
continue;
}

if (range.Lower > S.Lower)
{
if (S.Lower <= (range.Lower - 1)) { var X = IntRange.FromEndpoints(S.Lower, range.Lower - 1); middle.Add(X); } } if (range.Upper <= S.Upper) { if ((range.Upper + 1) <= S.Upper) { var X = IntRange.FromEndpoints(range.Upper + 1, S.Upper); middle.Add(X); } } else { throw new System.InvalidOperationException("internal error"); } } this.ranges = middle; } public IntRange? FindRangeContainingNumber(int n) { foreach (var rng in this.ranges) { if (rng.Contains(n)) { return rng; } } return null; } public bool Contains(int n) { var rng = this.FindRangeContainingNumber(n); return rng != null ? true : false; } public override string ToString() { var sb = new System.Text.StringBuilder(); sb.AppendFormat("{0}(", this.GetType().Name); foreach (var rng in this.ranges) { sb.Append(rng.ToString()); } sb.Append(")"); return sb.ToString(); } } } [/csharp]

Sparse Double Range

   
 
//http://isotopescreencapture.codeplex.com/
//The MIT License (MIT)
using System.Collections.Generic;
using System.Linq;

namespace Isotope.Collections.Ranges
{
    public static partial class EnumerableUtil
    {
        public static IEnumerable<T> Single<T>(T item)
        {
            yield return item;
        }




        /// <summary>
        /// Given a range (start,end) and a number of steps, will yield that a number for each step
        /// </summary>
        /// <param name="start"></param>
        /// <param name="end"></param>
        /// <param name="steps"></param>
        /// <returns></returns>
        public static IEnumerable<double> RangeSteps(double start, double end, int steps)
        {
            // for non-positive number of steps, yield no points
            if (steps < 1)
            {
                yield break;
            }

            // for exactly 1 step, yield the start value
            if (steps == 1)
            {
                yield return start;
                yield break;
            }

            // for exactly 2 stesp, yield the start value, and then the end value
            if (steps == 2)
            {
                yield return start;
                yield return end;
                yield break;
            }

            // for 3 steps or above, start yielding the segments
            // notice that the start and end values are explicitly returned so that there
            // is no possibility of rounding error affecting their values
            int segments = steps - 1;
            double total_length = end - start;
            double stepsize = total_length / segments;
            yield return start;
            for (int i = 1; i < (steps - 1); i++)
            {
                double p = start + (stepsize * i);
                yield return p;
            }
            yield return end;
        }

        public static IEnumerable<TGROUP> GroupByCount<T, TGROUP>(
            IEnumerable<T> items,
            int group_size,
            System.Func<int, TGROUP> func_new_col,
            System.Action<TGROUP, int, T> func_add) where TGROUP : class
        {


            if (items == null)
            {
                throw new System.ArgumentNullException("items");
            }

            if (group_size < 1)
            {
                throw new System.ArgumentOutOfRangeException("group_size");
            }

            if (func_new_col == null)
            {
                throw new System.ArgumentNullException("func_new_col");
            }


            if (func_add == null)
            {
                throw new System.ArgumentNullException("func_add");
            }



            int cur_group_size = 0;
            TGROUP cur_group = null;
            foreach (var item in items)
            {
                if (cur_group_size == 0)
                {
                    if (cur_group == null)
                    {
                        cur_group = func_new_col(group_size);
                    }
                    else
                    {
                        throw new System.InvalidOperationException();
                    }
                }

                func_add(cur_group, cur_group_size, item);
                cur_group_size++;
                if (cur_group_size == group_size)
                {

                    yield return cur_group;
                    cur_group = null;
                    cur_group_size = 0;
                }

            }

            if (cur_group_size > 0)
            {
                if (cur_group == null)
                {
                    throw new System.InvalidOperationException();
                }
                yield return cur_group;
            }

        }

        public static IEnumerable<TGROUP> GroupByCount<T, TGROUP>(ICollection<T> items, ICollection<int> group_sizes, System.Func<int, TGROUP> func_new_col, System.Action<TGROUP, int, T> func_add)
        {


            if (items == null)
            {
                throw new System.ArgumentNullException("items");
            }

            if (group_sizes == null)
            {
                throw new System.ArgumentNullException("group_sizes");
            }

            if (func_new_col == null)
            {
                throw new System.ArgumentNullException("func_new_col");
            }


            if (func_add == null)
            {
                throw new System.ArgumentNullException("func_add");
            }



            int total_group_sizes = group_sizes.Sum();
            if (total_group_sizes != items.Count)
            {
                throw new System.ArgumentException("group_sizes must account for all items");
            }

            int items_added = 0;
            for (int group_index = 0; group_index < group_sizes.Count; group_index++)
            {
                int cur_group_size = group_sizes.ElementAt(group_index);

                if (cur_group_size < 0)
                {
                    throw new System.ArgumentException("group_sizes contains a negative numver");
                }
                var cur_group = func_new_col(cur_group_size);
                for (int row_index = 0; row_index < cur_group_size; row_index++)
                {
                    var cur_item = items.ElementAt(items_added);
                    func_add(cur_group, row_index, cur_item);
                    items_added++;
                }
                yield return cur_group;

            }

        }


        public static IDictionary<K, List<V>> Bucketize<K, V>(IEnumerable<V> items, System.Func<V, K> func_get_key, IEqualityComparer<K> ieq)
        {
            if (items == null)
            {
                throw new System.ArgumentNullException("items");
            }

            if (func_get_key == null)
            {
                throw new System.ArgumentNullException("func_get_key");
            }

            var dic = new Dictionary<K, List<V>>(ieq);
            foreach (var item in items)
            {
                var key = func_get_key(item);
                List<V> list = null;
                bool found = dic.TryGetValue(key, out list);
                if (!found)
                {
                    list = new List<V>();
                    dic[key] = list;
                }
                list.Add(item);

            }

            return dic;
        }


        public static IDictionary<K, List<V>> Bucketize<K, V>(IEnumerable<V> items, System.Func<V, K> func_get_key)
        {
            IEqualityComparer<K> ieq = null;
            return Bucketize<K, V>(items, func_get_key, ieq);
        }


        public static IDictionary<K, int> Histogram<K, V>(IEnumerable<V> items, System.Func<V, K> func_get_key, IEqualityComparer<K> ieq)
        {
            if (items == null)
            {
                throw new System.ArgumentNullException("items");
            }

            if (func_get_key == null)
            {
                throw new System.ArgumentNullException("func_get_key");
            }

            var dic = new Dictionary<K, int>(ieq);
            foreach (var item in items)
            {
                var key = func_get_key(item);
                int old_value = 0;
                bool found = dic.TryGetValue(key, out old_value);
                if (!found)
                {
                    dic[key] = 1;
                }
                else
                {
                    dic[key] = old_value + 1;
                }

            }

            return dic;
        }

        public static IDictionary<T, int> Histogram<T>(IEnumerable<T> items)
        {
            var dic = Histogram(items, i => i, null);
            return dic;
        }

        public static List<List<T>> Chunkify<T>(IEnumerable<T> items, int chunksize)
        {
            var chunks = new List<List<T>>();
            List<T> cur_chunk = null;
            Chunkify(items, chunksize,
                () =>
                {
                    cur_chunk = new List<T>(chunksize); chunks.Add(cur_chunk);
                },
                item =>
                {
                    cur_chunk.Add(item);
                });

            return chunks;
        }

        public static void Chunkify<T>(IEnumerable<T> items, int chunksize, System.Action create_chunk, System.Action<T> add_item)
        {
            if (items == null)
            {
                throw new System.ArgumentNullException("items");
            }

            if (chunksize < 1)
            {
                throw new System.ArgumentOutOfRangeException("chunksize");
            }

            int item_count = 0;
            int curchunk_size = 0;
            foreach (T item in items)
            {
                if ((item_count % chunksize) == 0)
                {
                    create_chunk();
                    curchunk_size = 0;
                }
                add_item(item);
                item_count++;
                curchunk_size++;
            }

        }
    }
    public struct DoubleRange
    {
        public readonly double _Lower;
        public readonly double _Upper;

        public double Lower
        {
            get { return this._Lower; }
        }

        public double Upper
        {
            get { return this._Upper; }
        }

        private DoubleRange(double lower, double upper)
        {
            this._Lower = lower;
            this._Upper = upper;
        }

        /// <summary>
        /// Creates a range from the lower and upper values
        /// </summary>
        /// <example>
        /// (0,0) -> [0]
        /// (0,1) -> [0,1]
        /// (0,5) -> [0,1,2,3,4,5]
        /// (2,5) -> [2,3,4,5]
        /// </example>
        /// <param name="lower"></param>
        /// <param name="upper"></param>
        /// <returns></returns>
        public static DoubleRange FromEndpoints(double lower, double upper)
        {
            return new DoubleRange(lower, upper);
        }

        public double Length
        {
            get { return this.Upper - this.Lower; }
        }

        public override string ToString()
        {
            var invariant_culture = System.Globalization.CultureInfo.InvariantCulture;
            return string.Format(invariant_culture, "Range({0},{1})", this.Lower, this.Upper);
        }

        private static bool _intersects_exclusive(DoubleRange range1, DoubleRange range2)
        {
            bool val = (range1.Lower < range2.Lower) &amp;&amp; (range1.Upper > range2.Lower);
            return val;
        }

        private static bool _intersects_inclusive(DoubleRange range1, DoubleRange range2)
        {
            bool val = (range1.Lower <= range2.Lower) &amp;&amp; (range1.Upper >= range2.Upper);
            return val;
        }

        /// <summary>
        /// Tests if this range interests with another
        /// </summary>
        /// <param name="range">the other range</param>
        /// <returns>true if they intersect</returns>
        public bool IntersectsExclusive(DoubleRange range)
        {
            bool val = _intersects_exclusive(this, range) || _intersects_exclusive(range, this);
            return val;
        }

        public bool IntersectsInclusive(DoubleRange range)
        {
            bool val = _intersects_inclusive(this, range) || _intersects_inclusive(range, this);
            return val;
        }

        private static bool _touches(DoubleRange range1, DoubleRange range2)
        {
            var val = (range1.Upper == range2.Lower);
            return val;
        }

        /// <summary>
        /// Tests if this range touches another. For example (1-2) touches (3,5) but (1,2) does not touch (4,5)
        /// </summary>
        /// <param name="range">the other range</param>
        /// <returns>true if they touch</returns>
        public bool Touches(DoubleRange range)
        {
            var val = _touches(this, range) || _touches(range, this);
            return val;
        }

        /// <summary>
        /// Tests if this range contains a specific double
        /// </summary>
        /// <param name="n">the double</param>
        /// <returns>true if the number is contained</returns>
        public bool Contains(double n)
        {
            return (this.Lower <= n) &amp;&amp; (n <= this.Upper);
        }

        /// <summary>
        /// Join this range with another and return a single range that contains them both. The ranges must either touch or interest.
        /// for example (0,2) amd (3,7) will yield (0,7)
        /// </summary>
        /// <param name="range">the other range</param>
        /// <returns>the merged range</returns>
        public DoubleRange JoinWith(DoubleRange range)
        {
            if (this.IntersectsExclusive(range) || this.Touches(range))
            {
                double new_Upper = System.Math.Max(this.Upper, range.Upper);
                double new_Lower = System.Math.Min(this.Lower, range.Lower);
                return DoubleRange.FromEndpoints(new_Lower, new_Upper);
            }
            else
            {
                throw new System.ArgumentException("Ranges cannot be joined because they do not touch or overlap");
            }
        }

        public IEnumerable<double> Values
        {
            get
            {
                double step = 1.0;
                return this.GetValues(step);
            }
        }

        public IEnumerable<double> GetValues(double step)
        {
            if (step <= 0.0)
            {
                throw new System.ArgumentOutOfRangeException("step", "must be positive");
            }

            double i = this.Lower;
            while (i <= this.Upper)
            {
                yield return i;
                i += step;
            }
        }
    }

    public class SparseDoubleRange
    {
        private List<DoubleRange> ranges;

        public SparseDoubleRange()
        {
            this.clear();
        }

        public IEnumerable<DoubleRange> Ranges
        {
            get
            {
                foreach (var range in this.ranges)
                {
                    yield return range;
                }
            }
        }

        public double Count
        {
            get
            {
                double length = this.ranges.Aggregate(0.0, (old, rng) => old + rng.Length);
                return length;
            }
        }

        private void clear()
        {
            this.ranges = new List<DoubleRange>();
        }

        public int RangeCount
        {
            get { return this.ranges.Count; }
        }

        public void AddInclusive(double lower, double upper)
        {
            var rng = DoubleRange.FromEndpoints(lower, upper);
            this.Add(rng);
        }

        public void Add(DoubleRange range)
        {
            var left = new List<DoubleRange>();
            var right = new List<DoubleRange>();
            foreach (var rng in this.ranges)
            {
                if (range.IntersectsExclusive(rng) || range.Touches(rng))
                {
                    range = range.JoinWith(rng);
                }
                else if (rng.Upper < range.Lower)
                {
                    left.Add(rng);
                }
                else if (range.Upper < rng.Lower)
                {
                    right.Add(rng);
                }
                else
                {
                    throw new System.InvalidOperationException("Internal Error");
                }
            }

            this.ranges = left.Concat(EnumerableUtil.Single(range)).Concat(right).ToList();
        }

        public double Lower
        {
            get
            {
                if (this.ranges.Count < 1)
                {
                    throw new System.InvalidOperationException("empty");
                }

                return this.ranges&#91;0&#93;.Lower;
            }
        }

        public double Upper
        {
            get
            {
                if (this.ranges.Count < 1)
                {
                    throw new System.InvalidOperationException("empty");
                }

                return this.ranges&#91;this.ranges.Count - 1&#93;.Upper;
            }
        }

        public void RemoveInclusive(int lower, int upper)
        {
            var rng = DoubleRange.FromEndpoints(lower, upper);
            this.RemoveInclusive(rng);
        }

        public void RemoveExclusive(int lower, int upper)
        {
            if ((upper - lower) > (2 * double.Epsilon))
            {
                var rng = DoubleRange.FromEndpoints(lower + double.Epsilon, upper - double.Epsilon);
                this.RemoveInclusive(rng);
            }
        }

        public void RemoveInclusive(DoubleRange range)
        {
            // if the range doesn&#039;t intersect this collection do nothing
            if (!range.IntersectsInclusive(DoubleRange.FromEndpoints(this.Lower, this.Upper)))
            {
                return;
            }

            var middle = new List<DoubleRange>();

            foreach (var S in this.ranges)
            {
                if (!range.IntersectsInclusive(S))
                {
                    middle.Add(S);
                    continue;
                }

                if ((range.Lower <= S.Lower) &amp;&amp; (range.Upper >= S.Upper))
                {
                    // disregard S completely
                    continue;
                }

                if (range.Lower > S.Lower)
                {
                    if (S.Lower <= (range.Lower - double.Epsilon))
                    {
                        var X = DoubleRange.FromEndpoints(S.Lower, range.Lower);
                        middle.Add(X);
                    }
                }

                if (range.Upper <= S.Upper)
                {
                    if ((range.Upper + double.Epsilon) <= S.Upper)
                    {
                        var X = DoubleRange.FromEndpoints(range.Upper, S.Upper);
                        middle.Add(X);
                    }
                }
                else
                {
                    throw new System.InvalidOperationException("internal error");
                }
            }

            this.ranges = middle;
        }

        public DoubleRange? FindRangeContainingNumber(double n)
        {
            foreach (var rng in this.ranges)
            {
                if (rng.Contains(n))
                {
                    return rng;
                }
            }

            return null;
        }

        public bool Contains(double n)
        {
            var rng = this.FindRangeContainingNumber(n);
            return rng != null ? true : false;
        }

        public override string ToString()
        {
            var sb = new System.Text.StringBuilder();
            sb.AppendFormat("{0}(", this.GetType().Name);
            foreach (var rng in this.ranges)
            {
                sb.Append(rng.ToString());
            }

            sb.Append(")");
            return sb.ToString();
        }

        public IEnumerable<double> Values
        {
            get
            {
                foreach (var rng in this.Ranges)
                {
                    foreach (int i in rng.Values)
                    {
                        yield return i;
                    }
                }
            }
        }

        public IEnumerable<double> GetValues(double step)
        {
            foreach (var rng in this.Ranges)
            {
                foreach (double i in rng.GetValues(step))
                {
                    yield return i;
                }
            }
        }
    }
}

   
     


Int Range

//http://isotopescreencapture.codeplex.com/
//The MIT License (MIT)
using System.Collections.Generic;

namespace Isotope.Collections.Ranges
{
public struct IntRange
{
public readonly int _Lower;
public readonly int _Length;

public int Lower
{
get { return this._Lower; }
}

public int Upper
{
get { return this.Lower + this.Length – 1; }
}

public int Length
{
get { return this._Length; }
}

private IntRange(int lower, int length)
{
this._Lower = lower;
this._Length = length;

if (this.Lower > this.Upper)
{
throw new System.OverflowException();
}
}

///

/// Creates a range from the lower and upper values
///

///
/// (0,0) -> [0]
/// (0,1) -> [0,1]
/// (0,5) -> [0,1,2,3,4,5]
/// (2,5) -> [2,3,4,5]
///

/// /// ///
public static IntRange FromEndpoints(int lower, int upper)
{
return new IntRange(lower, upper – lower + 1);
}

///

/// Creates a range of a single number
///

///
///
///
public static IntRange FromInteger(int value)
{
return new IntRange(value, 1);
}

///

/// Creates a new range from a starting value and including all the numbers following that
///

///
/// (2,0) -> []
/// (2,1) -> [2]
/// (2,2) -> [2,3]
/// (2,3) -> [2,3,4]
/// (2,4) -> [2,3,4,5]
///

/// /// ///
public static IntRange FromLower(int lower, int length)
{
if (length < 0) { throw new System.ArgumentOutOfRangeException("length", "must be >= 0″);
}

return new IntRange(lower, length);
}

public override string ToString()
{
var invariant_culture = System.Globalization.CultureInfo.InvariantCulture;
return string.Format(invariant_culture, “Range({0},{1})”, this.Lower, this.Upper);
}

private static bool _intersects(IntRange range1, IntRange range2)
{
return ((range1.Lower <= range2.Lower) && (range1.Upper >= range2.Lower));
}

///

/// Tests if this range interests with another
///

/// the other range /// true if they intersect
public bool Intersects(IntRange range)
{
return (_intersects(this, range) || _intersects(range, this));
}

private static int Delta = 1;

private static bool _touches(IntRange range1, IntRange range2)
{
var val = (range1.Upper + Delta) == range2.Lower;
return val;
}

///

/// Tests if this range touches another. For example (1-2) touches (3,5) but (1,2) does not touch (4,5)
///

/// the other range /// true if they touch
public bool Touches(IntRange range)
{
var val = _touches(this, range) || _touches(range, this);
return val;
}

///

/// Tests if this range contains a specific integer
///

/// the integet /// true if the number is contained
public bool Contains(int n)
{
return ((this.Lower <= n) && (n <= this.Upper)); } ///

/// Join this range with another and return a single range that contains them both. The ranges must either touch or interest.
/// for example (0,2) amd (3,7) will yield (0,7)
///

/// the other range /// the merged range
public IntRange JoinWith(IntRange range)
{
if (this.Intersects(range) || this.Touches(range))
{
int new_Upper = System.Math.Max(this.Upper, range.Upper);
int new_Lower = System.Math.Min(this.Lower, range.Lower);
return IntRange.FromEndpoints(new_Lower, new_Upper);
}
else
{
throw new System.ArgumentException();
}
}

///

/// Get each int int he range from the lower value to the upper value
///

/// each int in the range
public IEnumerable Values
{
get
{
for (int i = this.Lower; i <= this.Upper; i++) { yield return i; } } } } } [/csharp]