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c# - Given a Member Access lambda expression, convert it to a specific string representation with full access path

Given an

Expression<Func<T, object>> 

(e.g. x => x.Prop1.SubProp), I want to create a string "Prop1.SubProp" for as deep as necessary.

In the case of a single access (e.g. x => x.Prop1), I can easily do this with:

MemberExpression body = (expression.Body.NodeType == ExpressionType.Convert) ? (MemberExpression)((UnaryExpression)expression.Body).Operand : (MemberExpression)expression.Body;
return body.Member.Name;

However, if there is deeper nesting, e.g. x => x.Prop1.SubProp1, this only gets the most deeply nested name, e.g. "SubProp1" instead of "Prop1.SubProp1"

Is there anyway to access the full property path of a lambda expression?

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public string GetPath<T>(Expression<Func<T, object>> expr)
{
    var stack = new Stack<string>();

    MemberExpression me;
    switch (expr.Body.NodeType)
    {
        case ExpressionType.Convert:
        case ExpressionType.ConvertChecked:
            var ue = expr.Body as UnaryExpression;
            me = ((ue != null) ? ue.Operand : null) as MemberExpression;
            break;
        default:
            me = expr.Body as MemberExpression;
            break;
    }

    while (me != null)
    {
        stack.Push(me.Member.Name);
        me = me.Expression as MemberExpression;
    }

    return string.Join(".", stack.ToArray());
}

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