Invert overflow flags

What you want to do is concatenate all the enum values ​​and then mask it with the complement of the current value.

        Foo value = Foo.Foo4;
        Foo allValues = (Foo)0;
        foreach (var v in Enum.GetValues(typeof(Foo)))
            allValues |= (Foo)v;
        var compliment = allValues & ~(value);

      

        
        
        
      

    

Or you can combine values ​​with Linq and cache them statically for performance:

    public static class FooHelper
    {
        private readonly static Foo allValues = ((Foo[])Enum.GetValues(typeof(Foo))).Aggregate((Foo)0, (all, cur) => all | cur);

        public static Foo AllValues { get { return allValues ; } }
    }

      

        
        
        
      

    

And than:

        var foo = Foo.Foo1 | Foo.Foo4;
        var compliment = FooHelper.AllValues & ~(foo);

      

        
        
        
      

    

Refresh

If you want a common method to concatenate all of the enum flag values, you can do this:

var compliment = EnumHelper.GetAll<Foo>() & ~(value);

      

        
        
        
      

    

where the underlying enum data is cached in a lazy parameterized singleton instance:

/// <summary>
/// Contains generic utilities for enums, constrained for enums only.
/// </summary>
public sealed class EnumHelper : Enums<Enum>
{
    private EnumHelper()
    {
    }
}

/// <summary>
/// For use by EnumHelper, not for direct use.
/// </summary>
public abstract class Enums<TEnumBase> where TEnumBase : class, IConvertible
{
    // Generic singleton remembering basic properties about specified enums, cached for performance.
    sealed class DataSingleton<TEnum> where TEnum : struct, TEnumBase
    {
        static readonly DataSingleton<TEnum> instance = new DataSingleton<TEnum>();

        readonly bool isSigned;
        readonly TEnum allValues;
        readonly bool hasFlags;

        // Explicit static constructor to tell C# compiler
        // not to mark type as beforefieldinit
        static DataSingleton()
        {
        }

        DataSingleton()
        {
            isSigned = GetIsSigned();
            allValues = GetAll();
            hasFlags = GetHasFlags();
        }

        static bool GetHasFlags()
        {
            var attributes = typeof(TEnum).GetCustomAttributes(typeof(FlagsAttribute), false);
            return attributes != null && attributes.Length > 0;
        }

        static bool GetIsSigned()
        {
            var underlyingType = Enum.GetUnderlyingType(typeof(TEnum));
            bool isSigned = (underlyingType == typeof(long) || underlyingType == typeof(int) || underlyingType == typeof(short) || underlyingType == typeof(sbyte));
            bool isUnsigned = (underlyingType == typeof(ulong) || underlyingType == typeof(uint) || underlyingType == typeof(ushort) || underlyingType == typeof(byte));
            if (!isSigned && !isUnsigned)
                throw new InvalidOperationException();
            return isSigned;
        }

        static TEnum GetAll()
        {
            if (GetIsSigned())
            {
                long value = 0;
                foreach (var v in Enum.GetValues(typeof(TEnum)))
                    // Not sure I need the culture but Microsoft passes it in Enum.ToUInt64(Object value) - http://referencesource.microsoft.com/#mscorlib/system/enum.cs
                    value |= Convert.ToInt64(v, CultureInfo.InvariantCulture);
                return (TEnum)Enum.ToObject(typeof(TEnum), value);
            }
            else
            {
                ulong value = 0;
                foreach (var v in Enum.GetValues(typeof(TEnum)))
                    // Not sure I need the culture but Microsoft passes it in Enum.ToUInt64(Object value) - http://referencesource.microsoft.com/#mscorlib/system/enum.cs
                    value |= Convert.ToUInt64(v, CultureInfo.InvariantCulture);
                return (TEnum)Enum.ToObject(typeof(TEnum), value);
            }
        }

        public bool HasFlags { get { return hasFlags; } }

        public bool IsSigned { get { return isSigned; } }

        public TEnum AllValues { get { return allValues; } }

        public static DataSingleton<TEnum> Instance { get { return instance; } }
    }

    private static void ThrowOnEnumWithoutFlags<TEnum>(DataSingleton<TEnum> data) where TEnum : struct, TEnumBase
    {
        if (!data.HasFlags)
        {
            throw (new ArgumentException("The generic argument [<TEnum>] must be an enumeration with the [FlagsAttribute] applied.", "TEnum: " + typeof(TEnum).FullName));
        }
    }

    public static TEnum GetAll<TEnum>() where TEnum : struct, TEnumBase
    {
        var data = DataSingleton<TEnum>.Instance;
        ThrowOnEnumWithoutFlags<TEnum>(data);
        return data.AllValues;
    }
}