I have a class like this:
class MyClass<T> {
    public string value1 { get; set; }
    public T objT { get; set; }
}
and a list of this class. I would like to use .net 3.5 lambda or linq to get a list of MyClass by distinct value1. I guess this is possible and much simpler than the way in .net 2.0 to cache a list like this:
List<MyClass<T>> list; 
...
List<MyClass<T>> listDistinct = new List<MyClass<T>>();
foreach (MyClass<T> instance in list)
{
    // some code to check if listDistinct does contain obj with intance.Value1
    // then listDistinct.Add(instance);
}
What is the lambda or LINQ way to do it?
Both Marc's and dahlbyk's answers seem to work very well. I have a much simpler solution though. Instead of using Distinct, you can use GroupBy. It goes like this:
var listDistinct
    = list.GroupBy(
        i => i.value1,
        (key, group) => group.First()
    ).ToArray();
Notice that I've passed two functions to the GroupBy(). The first is a key selector. The second gets only one item from each group. From your question, I assumed First() was the right one. You can write a different one, if you want to. You can try Last() to see what I mean.
I ran a test with the following input:
var list = new [] {
    new { value1 = "ABC", objT = 0 },
    new { value1 = "ABC", objT = 1 },
    new { value1 = "123", objT = 2 },
    new { value1 = "123", objT = 3 },
    new { value1 = "FOO", objT = 4 },
    new { value1 = "BAR", objT = 5 },
    new { value1 = "BAR", objT = 6 },
    new { value1 = "BAR", objT = 7 },
    new { value1 = "UGH", objT = 8 },
};
The result was:
//{ value1 = ABC, objT = 0 }
//{ value1 = 123, objT = 2 }
//{ value1 = FOO, objT = 4 }
//{ value1 = BAR, objT = 5 }
//{ value1 = UGH, objT = 8 }
I haven't tested it for performance. I believe that this solution is probably a little bit slower than one that uses Distinct. Despite this disadvantage, there are two great advantages: simplicity and flexibility. Usually, it's better to favor simplicity over optimization, but it really depends on the problem you're trying to solve.
Hmm... I'd probably write a custom IEqualityComparer<T> so that I can use:
var listDistinct = list.Distinct(comparer).ToList();
and write the comparer via LINQ....
Possibly a bit overkill, but reusable, at least:
Usage first:
static class Program {
    static void Main() {
        var data = new[] {
            new { Foo = 1,Bar = "a"}, new { Foo = 2,Bar = "b"}, new {Foo = 1, Bar = "c"}
        };
        foreach (var item in data.DistinctBy(x => x.Foo))
            Console.WriteLine(item.Bar);
        }
    }
}
With utility methods:
public static class ProjectionComparer
{
    public static IEnumerable<TSource> DistinctBy<TSource,TValue>(
        this IEnumerable<TSource> source,
        Func<TSource, TValue> selector)
    {
        var comparer = ProjectionComparer<TSource>.CompareBy<TValue>(
            selector, EqualityComparer<TValue>.Default);
        return new HashSet<TSource>(source, comparer);
    }
}
public static class ProjectionComparer<TSource>
{
    public static IEqualityComparer<TSource> CompareBy<TValue>(
        Func<TSource, TValue> selector)
    {
        return CompareBy<TValue>(selector, EqualityComparer<TValue>.Default);
    }
    public static IEqualityComparer<TSource> CompareBy<TValue>(
        Func<TSource, TValue> selector,
        IEqualityComparer<TValue> comparer)
    {
        return new ComparerImpl<TValue>(selector, comparer);
    }
    sealed class ComparerImpl<TValue> : IEqualityComparer<TSource>
    {
        private readonly Func<TSource, TValue> selector;
        private readonly IEqualityComparer<TValue> comparer;
        public ComparerImpl(
            Func<TSource, TValue> selector,
            IEqualityComparer<TValue> comparer)
        {
            if (selector == null) throw new ArgumentNullException("selector");
            if (comparer == null) throw new ArgumentNullException("comparer");
            this.selector = selector;
            this.comparer = comparer;
        }
        bool IEqualityComparer<TSource>.Equals(TSource x, TSource y)
        {
            if (x == null && y == null) return true;
            if (x == null || y == null) return false;
            return comparer.Equals(selector(x), selector(y));
        }
        int IEqualityComparer<TSource>.GetHashCode(TSource obj)
        {
            return obj == null ? 0 : comparer.GetHashCode(selector(obj));
        }
    }
}
                        You can use this extension method:
    IEnumerable<MyClass> distinctList = sourceList.DistinctBy(x => x.value1);
    public static IEnumerable<TSource> DistinctBy<TSource, TKey>(
        this IEnumerable<TSource> source,
        Func<TSource, TKey> keySelector)
    {
        var knownKeys = new HashSet<TKey>();
        return source.Where(element => knownKeys.Add(keySelector(element)));
    }
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