C# how to convert IEnumerable anonymous lists into data table

Question

Many solutions are available that convert lists to DataTable that use reflection, and that would work for converting anonymous types. However, it there are

Answer 1

Improved on @MarcGravell's answer to support:

1. An optional list of fields specifying which columns to keep and their order.

2. Nullable types.

   static public DataTable ToDataTable(this IList anonymousSource, List keepOrderedFieldsOpt = null)
   {
       // https://stackoverflow.com/a/13153479/538763 - @MarcGravell
       // Added keepOrderedFieldsOpt, nullable types - @crokusek
   
       if (anonymousSource == null) throw new ArgumentNullException();
       DataTable table = new DataTable();
       if (anonymousSource.Count == 0) return table;
   
       // blatently assume the list is homogeneous
       Type itemType = anonymousSource[0].GetType();
       table.TableName = itemType.Name;            
   
       // Build up orderedColumns
       //
       List orderedColumns;            
       if (keepOrderedFieldsOpt != null)
       {
           Dictionary propertiesByName = itemType.GetProperties()
               .ToDictionary(p => p.Name, p => p);
   
           orderedColumns = new List();
           List missingFields = null;
   
           foreach (string field in keepOrderedFieldsOpt)
           {
               PropertyInfo tempPropertyInfo;
               if (propertiesByName.TryGetValue(field, out tempPropertyInfo))
                   orderedColumns.Add(tempPropertyInfo);
               else
                   (missingFields ?? (missingFields = new List())).Add(field);
           }
   
           if (missingFields != null) 
               throw new ArgumentOutOfRangeException("keepOrderedFieldsOpt", "Argument keepOrderedFieldsOpt contains invalid field name(s): " + String.Join(", ", missingFields));
       }
       else
           orderedColumns = itemType.GetProperties().ToList();
   
       List names = new List();
       foreach (PropertyInfo prop in orderedColumns)
       {
           if (prop.CanRead && prop.GetIndexParameters().Length == 0)
           {
               names.Add(prop.Name);
   
               // Nullable support from stackoverflow.com/a/23233413/538763 - @Damith
               table.Columns.Add(prop.Name, Nullable.GetUnderlyingType(prop.PropertyType) ?? prop.PropertyType);
           }
       }
       names.TrimExcess();
   
       TypeAccessor accessor = TypeAccessor.Create(itemType);
       object[] values = new object[names.Count];
       foreach (var row in anonymousSource)
       {
           for (int i = 0; i < values.Length; i++)
               values[i] = accessor[row, names[i]];
   
           table.Rows.Add(values);
       }
       return table;
   }