我认为其中大部分都存在问题，包括公认的答案，因为它们与Linq相比IQueryable工作不太好，要么是由于做了太多的服务器往返和太多的数据返回，要么是做了太多的客户端执行。

对于IEnumerable，我不喜欢Sehe的答案或类似的答案，因为它占用了过多的内存(一个简单的10000000两个列表测试在我的32GB机器上运行Linqpad内存)。

另外，其他大多数方法实际上并没有实现正确的Full Outer Join，因为它们使用的是带有右连接的Union，而不是带有右反半连接的Concat，这不仅消除了结果中重复的内部连接行，而且消除了最初存在于左或右数据中的任何正确的副本。

所以这里是我的扩展，处理所有这些问题，生成SQL以及直接实现LINQ到SQL的连接，在服务器上执行，比其他枚举对象更快，内存更少:

public static class Ext {
    public static IEnumerable<TResult> LeftOuterJoin<TLeft, TRight, TKey, TResult>(
        this IEnumerable<TLeft> leftItems,
        IEnumerable<TRight> rightItems,
        Func<TLeft, TKey> leftKeySelector,
        Func<TRight, TKey> rightKeySelector,
        Func<TLeft, TRight, TResult> resultSelector) {

        return from left in leftItems
               join right in rightItems on leftKeySelector(left) equals rightKeySelector(right) into temp
               from right in temp.DefaultIfEmpty()
               select resultSelector(left, right);
    }

    public static IEnumerable<TResult> RightOuterJoin<TLeft, TRight, TKey, TResult>(
        this IEnumerable<TLeft> leftItems,
        IEnumerable<TRight> rightItems,
        Func<TLeft, TKey> leftKeySelector,
        Func<TRight, TKey> rightKeySelector,
        Func<TLeft, TRight, TResult> resultSelector) {

        return from right in rightItems
               join left in leftItems on rightKeySelector(right) equals leftKeySelector(left) into temp
               from left in temp.DefaultIfEmpty()
               select resultSelector(left, right);
    }

    public static IEnumerable<TResult> FullOuterJoinDistinct<TLeft, TRight, TKey, TResult>(
        this IEnumerable<TLeft> leftItems,
        IEnumerable<TRight> rightItems,
        Func<TLeft, TKey> leftKeySelector,
        Func<TRight, TKey> rightKeySelector,
        Func<TLeft, TRight, TResult> resultSelector) {

        return leftItems.LeftOuterJoin(rightItems, leftKeySelector, rightKeySelector, resultSelector).Union(leftItems.RightOuterJoin(rightItems, leftKeySelector, rightKeySelector, resultSelector));
    }

    public static IEnumerable<TResult> RightAntiSemiJoin<TLeft, TRight, TKey, TResult>(
        this IEnumerable<TLeft> leftItems,
        IEnumerable<TRight> rightItems,
        Func<TLeft, TKey> leftKeySelector,
        Func<TRight, TKey> rightKeySelector,
        Func<TLeft, TRight, TResult> resultSelector) {

        var hashLK = new HashSet<TKey>(from l in leftItems select leftKeySelector(l));
        return rightItems.Where(r => !hashLK.Contains(rightKeySelector(r))).Select(r => resultSelector(default(TLeft),r));
    }

    public static IEnumerable<TResult> FullOuterJoin<TLeft, TRight, TKey, TResult>(
        this IEnumerable<TLeft> leftItems,
        IEnumerable<TRight> rightItems,
        Func<TLeft, TKey> leftKeySelector,
        Func<TRight, TKey> rightKeySelector,
        Func<TLeft, TRight, TResult> resultSelector)  where TLeft : class {

        return leftItems.LeftOuterJoin(rightItems, leftKeySelector, rightKeySelector, resultSelector).Concat(leftItems.RightAntiSemiJoin(rightItems, leftKeySelector, rightKeySelector, resultSelector));
    }

    private static Expression<Func<TP, TC, TResult>> CastSMBody<TP, TC, TResult>(LambdaExpression ex, TP unusedP, TC unusedC, TResult unusedRes) => (Expression<Func<TP, TC, TResult>>)ex;

    public static IQueryable<TResult> LeftOuterJoin<TLeft, TRight, TKey, TResult>(
        this IQueryable<TLeft> leftItems,
        IQueryable<TRight> rightItems,
        Expression<Func<TLeft, TKey>> leftKeySelector,
        Expression<Func<TRight, TKey>> rightKeySelector,
        Expression<Func<TLeft, TRight, TResult>> resultSelector) {

        var sampleAnonLR = new { left = default(TLeft), rightg = default(IEnumerable<TRight>) };
        var parmP = Expression.Parameter(sampleAnonLR.GetType(), "p");
        var parmC = Expression.Parameter(typeof(TRight), "c");
        var argLeft = Expression.PropertyOrField(parmP, "left");
        var newleftrs = CastSMBody(Expression.Lambda(Expression.Invoke(resultSelector, argLeft, parmC), parmP, parmC), sampleAnonLR, default(TRight), default(TResult));

        return leftItems.AsQueryable().GroupJoin(rightItems, leftKeySelector, rightKeySelector, (left, rightg) => new { left, rightg }).SelectMany(r => r.rightg.DefaultIfEmpty(), newleftrs);
    }

    public static IQueryable<TResult> RightOuterJoin<TLeft, TRight, TKey, TResult>(
        this IQueryable<TLeft> leftItems,
        IQueryable<TRight> rightItems,
        Expression<Func<TLeft, TKey>> leftKeySelector,
        Expression<Func<TRight, TKey>> rightKeySelector,
        Expression<Func<TLeft, TRight, TResult>> resultSelector) {

        var sampleAnonLR = new { leftg = default(IEnumerable<TLeft>), right = default(TRight) };
        var parmP = Expression.Parameter(sampleAnonLR.GetType(), "p");
        var parmC = Expression.Parameter(typeof(TLeft), "c");
        var argRight = Expression.PropertyOrField(parmP, "right");
        var newrightrs = CastSMBody(Expression.Lambda(Expression.Invoke(resultSelector, parmC, argRight), parmP, parmC), sampleAnonLR, default(TLeft), default(TResult));

        return rightItems.GroupJoin(leftItems, rightKeySelector, leftKeySelector, (right, leftg) => new { leftg, right }).SelectMany(l => l.leftg.DefaultIfEmpty(), newrightrs);
    }

    public static IQueryable<TResult> FullOuterJoinDistinct<TLeft, TRight, TKey, TResult>(
        this IQueryable<TLeft> leftItems,
        IQueryable<TRight> rightItems,
        Expression<Func<TLeft, TKey>> leftKeySelector,
        Expression<Func<TRight, TKey>> rightKeySelector,
        Expression<Func<TLeft, TRight, TResult>> resultSelector) {

        return leftItems.LeftOuterJoin(rightItems, leftKeySelector, rightKeySelector, resultSelector).Union(leftItems.RightOuterJoin(rightItems, leftKeySelector, rightKeySelector, resultSelector));
    }

    private static Expression<Func<TP, TResult>> CastSBody<TP, TResult>(LambdaExpression ex, TP unusedP, TResult unusedRes) => (Expression<Func<TP, TResult>>)ex;

    public static IQueryable<TResult> RightAntiSemiJoin<TLeft, TRight, TKey, TResult>(
        this IQueryable<TLeft> leftItems,
        IQueryable<TRight> rightItems,
        Expression<Func<TLeft, TKey>> leftKeySelector,
        Expression<Func<TRight, TKey>> rightKeySelector,
        Expression<Func<TLeft, TRight, TResult>> resultSelector) {

        var sampleAnonLgR = new { leftg = default(IEnumerable<TLeft>), right = default(TRight) };
        var parmLgR = Expression.Parameter(sampleAnonLgR.GetType(), "lgr");
        var argLeft = Expression.Constant(default(TLeft), typeof(TLeft));
        var argRight = Expression.PropertyOrField(parmLgR, "right");
        var newrightrs = CastSBody(Expression.Lambda(Expression.Invoke(resultSelector, argLeft, argRight), parmLgR), sampleAnonLgR, default(TResult));

        return rightItems.GroupJoin(leftItems, rightKeySelector, leftKeySelector, (right, leftg) => new { leftg, right }).Where(lgr => !lgr.leftg.Any()).Select(newrightrs);
    }

    public static IQueryable<TResult> FullOuterJoin<TLeft, TRight, TKey, TResult>(
        this IQueryable<TLeft> leftItems,
        IQueryable<TRight> rightItems,
        Expression<Func<TLeft, TKey>> leftKeySelector,
        Expression<Func<TRight, TKey>> rightKeySelector,
        Expression<Func<TLeft, TRight, TResult>> resultSelector) {

        return leftItems.LeftOuterJoin(rightItems, leftKeySelector, rightKeySelector, resultSelector).Concat(leftItems.RightAntiSemiJoin(rightItems, leftKeySelector, rightKeySelector, resultSelector));
    }
}

右反半连接(Right Anti-Semi-Join)之间的差异在Linq to Objects或源代码中大多是没有意义的，但在最终的答案中，在服务器(SQL)端产生了差异，删除了一个不必要的连接。

手动编码Expression来处理将Expression<Func<>>合并到lambda中，可以使用LinqKit进行改进，但如果语言/编译器为此添加了一些帮助，那就更好了。为了完整起见，包括了fullouterjo模糊不清和RightOuterJoin函数，但我还没有重新实现FullOuterGroupJoin。

我为IEnumerable编写了另一个完整的外部连接版本，用于键是可排序的情况，这比组合左外部连接和右反半连接快50%左右，至少在小型集合上是这样。它只对每个集合进行一次排序。

我还为使用EF的版本添加了另一个答案，即用自定义展开替换Invoke。

对于键在两个枚举对象中都是唯一的情况，我的干净解决方案:

 private static IEnumerable<TResult> FullOuterJoin<Ta, Tb, TKey, TResult>(
            IEnumerable<Ta> a, IEnumerable<Tb> b,
            Func<Ta, TKey> key_a, Func<Tb, TKey> key_b,
            Func<Ta, Tb, TResult> selector)
        {
            var alookup = a.ToLookup(key_a);
            var blookup = b.ToLookup(key_b);
            var keys = new HashSet<TKey>(alookup.Select(p => p.Key));
            keys.UnionWith(blookup.Select(p => p.Key));
            return keys.Select(key => selector(alookup[key].FirstOrDefault(), blookup[key].FirstOrDefault()));
        }

so

    var ax = new[] {
        new { id = 1, first_name = "ali" },
        new { id = 2, first_name = "mohammad" } };
    var bx = new[] {
        new { id = 1, last_name = "rezaei" },
        new { id = 3, last_name = "kazemi" } };

    var list = FullOuterJoin(ax, bx, a => a.id, b => b.id, (a, b) => "f: " + a?.first_name + " l: " + b?.last_name).ToArray();

输出:

f: ali l: rezaei
f: mohammad l:
f:  l: kazemi

我真的很讨厌这些linq表达式，这就是SQL存在的原因:

select isnull(fn.id, ln.id) as id, fn.firstname, ln.lastname
   from firstnames fn
   full join lastnames ln on ln.id=fn.id

在数据库中创建此sql视图并将其作为实体导入。

当然，(不同的)左连接和右连接的并集也可以做到这一点，但这是愚蠢的。

正如您所发现的，Linq没有“外部连接”结构。您所能得到的最接近的是使用您所声明的查询的左外连接。为此，你可以添加任何没有在join中表示的姓氏列表元素:

outerJoin = outerJoin.Concat(lastNames.Select(l=>new
                            {
                                id = l.ID,
                                firstname = String.Empty,
                                surname = l.Name
                            }).Where(l=>!outerJoin.Any(o=>o.id == l.id)));

下面是一个扩展方法:

public static IEnumerable<KeyValuePair<TLeft, TRight>> FullOuterJoin<TLeft, TRight>(this IEnumerable<TLeft> leftItems, Func<TLeft, object> leftIdSelector, IEnumerable<TRight> rightItems, Func<TRight, object> rightIdSelector)
{
    var leftOuterJoin = from left in leftItems
        join right in rightItems on leftIdSelector(left) equals rightIdSelector(right) into temp
        from right in temp.DefaultIfEmpty()
        select new { left, right };

    var rightOuterJoin = from right in rightItems
        join left in leftItems on rightIdSelector(right) equals leftIdSelector(left) into temp
        from left in temp.DefaultIfEmpty()
        select new { left, right };

    var fullOuterJoin = leftOuterJoin.Union(rightOuterJoin);

    return fullOuterJoin.Select(x => new KeyValuePair<TLeft, TRight>(x.left, x.right));
}

我喜欢她的回答，但它没有使用延迟执行(输入序列被调用ToLookup急切地枚举)。因此，在查看了LINQ-to-objects的.NET源代码后，我想到了这个:

public static class LinqExtensions
{
    public static IEnumerable<TResult> FullOuterJoin<TLeft, TRight, TKey, TResult>(
        this IEnumerable<TLeft> left,
        IEnumerable<TRight> right,
        Func<TLeft, TKey> leftKeySelector,
        Func<TRight, TKey> rightKeySelector,
        Func<TLeft, TRight, TKey, TResult> resultSelector,
        IEqualityComparer<TKey> comparator = null,
        TLeft defaultLeft = default(TLeft),
        TRight defaultRight = default(TRight))
    {
        if (left == null) throw new ArgumentNullException("left");
        if (right == null) throw new ArgumentNullException("right");
        if (leftKeySelector == null) throw new ArgumentNullException("leftKeySelector");
        if (rightKeySelector == null) throw new ArgumentNullException("rightKeySelector");
        if (resultSelector == null) throw new ArgumentNullException("resultSelector");

        comparator = comparator ?? EqualityComparer<TKey>.Default;
        return FullOuterJoinIterator(left, right, leftKeySelector, rightKeySelector, resultSelector, comparator, defaultLeft, defaultRight);
    }

    internal static IEnumerable<TResult> FullOuterJoinIterator<TLeft, TRight, TKey, TResult>(
        this IEnumerable<TLeft> left,
        IEnumerable<TRight> right,
        Func<TLeft, TKey> leftKeySelector,
        Func<TRight, TKey> rightKeySelector,
        Func<TLeft, TRight, TKey, TResult> resultSelector,
        IEqualityComparer<TKey> comparator,
        TLeft defaultLeft,
        TRight defaultRight)
    {
        var leftLookup = left.ToLookup(leftKeySelector, comparator);
        var rightLookup = right.ToLookup(rightKeySelector, comparator);
        var keys = leftLookup.Select(g => g.Key).Union(rightLookup.Select(g => g.Key), comparator);

        foreach (var key in keys)
            foreach (var leftValue in leftLookup[key].DefaultIfEmpty(defaultLeft))
                foreach (var rightValue in rightLookup[key].DefaultIfEmpty(defaultRight))
                    yield return resultSelector(leftValue, rightValue, key);
    }
}

该实现具有以下重要属性:

延迟执行，在枚举输出序列之前不会枚举输入序列。 每个输入序列只枚举一次。 保留输入序列的顺序，在某种意义上，它将以左序列和右序列的顺序生成元组(对于不在左序列中出现的键)。

这些属性很重要，因为它们是那些刚接触FullOuterJoin但有LINQ经验的人所期望的。