How can I make a monoid-like interface in C#? - c#

I want to require things which implement an interface (or derive from a class) to have an implementation for Aggregate included. That is, if they are of type T I want them to have something of type Func<T,T,T>. In Haskell this is called a "monoid".
EDIT: What I want to call is something like this:
list.Aggregate((x, accum) => accump.MAppend(x));
Based on DigalD's answer, this is my best attempt, but it doesn't compile:
interface IMonoid<T>
{
T MAppend(T other);
}
class Test
{
public static void runTest<T>(IEnumerable<IMonoid<T>> list)
{
// doesn't work
list.Aggregate((x, ac) => ac.MAppend(x));
}
}

A monoid is an associative operation together with an identity for that operation.
interface Monoid<T> {
T MAppend(T t1, T t2);
T MEmpty
}
The contract of a monoid is that for all a, b, and c:
Associativity: MAppend(Mappend(a, b), c) = MAppend(a, Mappend(b, c))
Left identity: MAppend(MEmpty, a) = a
Right identity: MAppend(a, MEmpty) = a
You can use it to add up the elements in a list:
class Test {
public static T runTest<T>(IEnumerable<T> list, Monoid<T> m) {
list.Aggregate(m.MEmpty, (a, b) => m.MAppend(a, b));
}
}

The answer by Apocalisp looks closest to the mark, but I'd prefer something like this:
public interface IMonoid<T>
{
T Combine(T x, T y);
T Identity { get; }
}
While Haskell calls the monoid identity mempty, I think it's more reasonable to use the language of abstract algebra, so I named the identity value Identity. Likewise, I prefer the term Combine over Haskell's mappend, because the word append seems to indicate some sort of list append operation, which it doesn't have to be at all. Combine, however, isn't a perfect word either, because neither the first nor the last monoids combine the values; instead, they ignore one of them. I'm open to suggestions of a better name for the binary operation...
(In Haskell, BTW, I prefer using the <> operator alias instead of the mappend function, so that sort of side-steps the naming issue...)
Using the above IMonoid<T> interface, you can now write an extension method like this:
public static class Monoid
{
public static T Concat<T>(this IMonoid<T> m, IEnumerable<T> values)
{
return values.Aggregate(m.Identity, (acc, x) => m.Combine(acc, x));
}
}
Here, I completely arbitrarily and inconsistently decided to go with Haskell's naming, so I named the method Concat.
As I describe in my article Monoids accumulate, one always has to start the accumulation with the monoidal identity, in this case m.Identity.
As I describe in my article Semigroups accumulate, instead of an imperative for loop, you can use the Aggregate extension method, but you'll have to use the overload that takes an initial seed value. That seed value is m.Identity.
You can now define various monoids, such as Sum:
public class Sum : IMonoid<int>
{
public int Combine(int x, int y)
{
return x + y;
}
public int Identity
{
get { return 0; }
}
}
or Product:
public class Product : IMonoid<int>
{
public int Combine(int x, int y)
{
return x * y;
}
public int Identity
{
get { return 1; }
}
}
Since I made the monoid argument the this argument of the Concat method, the method extends the IMonoid<T> interface, rather than IEnumerable<T>. I think this gives you a more readable API. For example:
var s = new Sum().Concat(new[] { 1000, 300, 30, 7 });
produces s == 1337, while
var p = new Product().Concat(new[] { 2, 3, 7 });
produces p == 42.
If you don't like having to create a new Sum() or new Product() object every time, you can make your monoids Singletons, like this All monoid:
public class All : IMonoid<bool>
{
public static All Instance = new All();
private All() { }
public bool Combine(bool x, bool y)
{
return x && y;
}
public bool Identity
{
get { return true; }
}
}
which you can use like this:
var a = All.Instance.Concat(new[] { true, true, true });
Here, a is true. You can use a similarly written Any monoid in the same way:
var a = Any.Instance.Concat(new[] { false, true, false });
I'll leave it as an exercise for the reader to figure out how Any is implemented.

What about this version:
interface IMonoid<T>
{
T MAppend(IMonoid<T> other);
}
class Test
{
public static void runTest<T>(IEnumerable<IMonoid<T>> list)
where T : IMonoid<T>
{
list.Aggregate((x, ac) => ac.MAppend(x));
}
}
Or better yet, enforcing it from the start:
interface IMonoid<T>
where T : IMonoid<T>
{
T MAppend(IMonoid<T> other);
}

Shouldn't you just make the Interface generic as well?
interface IMonoid<T>
{
public IMonoidHandler<T> handler {get;set;}
}

Related

Type inference based on calling location

I want to create a wrapper function for a generic class like so:
public class ColumnData
{
public static ColumnData<T> Create<T>(string name, int width, ColumnType type,
Func<T, string> dataFormater)
{
return new ColumnData<T>(name, width, type, dataFormater);
}
}
The Create method will be called as an argument to another function with a signature:
public void populateFromData<TDATA>(IEnumerable<TDATA> data,
params ColumnData<TDATA>[] columns)
{
...
}
The intent here is to be able to do:
var myData = new List<MyDataType>();
dataListView.populateFromData(
myData,
ColumnData.Create("ID", 40, ColumnType.Numeric, x => x.ID.ToString());
However, Create can't infer the correct type for itself based on the signature it's expected to have, and thus the lambda doesn't know itself either.
Is this a limitation of type inference, or is there a way to make this setup work?
Note: I'm willing to specify the actual data type somewhere in this function call, if necessary, but I don't want to specify it for each .Create().
As others have explained, it's not possible with the exact syntax you want. As a workaround, you could possibly move the typing to a separate building class:
public class ColumnDataBuilder
{
public static ColumnDataBuilder<T> ColumnsFor<T>(IEnumerable<T> data)
{
return new ColumnDataBuilder<T>(data);
}
}
public class ColumnDataBuilder<T> : ColumnDataBuilder
{
public IEnumerable<T> Data { get; private set; }
public ColumnDataBuilder(IEnumerable<T> data)
{
this.Data = data;
}
public ColumnData<T> Create(string name, int width, ColumnType type, Func<T, string> dataFormater)
{
return new ColumnData<T>(name, width, type, dataFormater);
}
public void populateFromData(params ColumnData<T>[] columns)
{
///...
}
}
public class ColumnData<T>
{
public ColumnData(string name, int width, ColumnType type, Func<T, string> dataFormatter)
{
}
}
Then usage might look like:
var builder = ColumnDataBuilder.ColumnsFor(new List<MyDataType>());
builder.populateFromData(builder.Create("ID", 40, ColumnType.Numeric, x => x.ID.ToString()));
IEnumerable<MyDataType> data = builder.Data;
Or closer to your example usage (if you want to keep populateFromData on your dataListView) in which case you can ditch the ColumnDataBuilder<T>.populateFromData method (since it seems from your comments that's not possible to keep there):
var myData = new List<MyDataType>();
var builder = ColumnDataBuilder.ColumnsFor(myData);
dataListView.populateFromData(myData, builder.Create("ID", 40, ColumnType.Numeric, x => x.ID.ToString()));
Or a bit of best of both worlds:
var builder = ColumnDataBuilder.ColumnsFor(new List<MyDataType>());
dataListView.populateFromData(builder.Data, builder.Create("ID", 40, ColumnType.Numeric, x => x.ID.ToString()));
EDIT: Considering your comments, you probably don't want populateFromData or possibly even the IEnumerable<T> Data stored on the ColumnDataBuilder, so you might simplify to have this instead:
public class ColumnDataBuilder<T> : ColumnDataBuilder
{
public ColumnData<T> Create(string name, int width, ColumnType type, Func<T, string> dataFormater)
{
return new ColumnData<T>(name, width, type, dataFormater);
}
}
public class ColumnDataBuilder
{
public static ColumnDataBuilder<T> ColumnsFor<T>(IEnumerable<T> data)
{
return new ColumnDataBuilder<T>();
}
}
With the usage from above:
var myData = new List<MyDataType>();
var builder = ColumnDataBuilder.ColumnsFor(myData);
dataListView.populateFromData(myData, builder.Create("ID", 40, ColumnType.Numeric, x => x.ID.ToString()));
Sometimes you just have to specify the generic type parameter explicitly, when c# cannot infer it's actual type.
dataListView.populateFromData(
myData,
ColumnData.Create<MyDataType>("ID", 40, ColumnType.Numeric, x => x.ID.ToString());
One answer I just came up with involves an alias. I removed the wrapper class and moved the Create method into the ColumnData<T> class directly, then added:
using ColumnData = ColumnData<MyDataType>;
This allows me to access ColumnData.Create() with the type hint to the compiler, without needing to specify it on each line. I'll need to create the alias in each file where I want to use this, but it is a workable solution.

Quickest way to find the complement of two collections in C#

I have two collections of type ICollection<MyType> called c1 and c2. I'd like to find the set of items that are in c2 that are not in c1, where the heuristic for equality is the Id property on MyType.
What is the quickest way to perform this in C# (3.0)?
Use Enumerable.Except and specifically the overload that accepts an IEqualityComparer<MyType>:
var complement = c2.Except(c1, new MyTypeEqualityComparer());
Note that this produces the set difference and thus duplicates in c2 will only appear in the resulting IEnumerable<MyType> once. Here you need to implement IEqualityComparer<MyType> as something like
class MyTypeEqualityComparer : IEqualityComparer<MyType> {
public bool Equals(MyType x, MyType y) {
return x.Id.Equals(y.Id);
}
public int GetHashCode(MyType obj) {
return obj.Id.GetHashCode();
}
}
If using C# 3.0 + Linq:
var complement = from i2 in c2
where c1.FirstOrDefault(i1 => i2.Id == i1.Id) == null
select i2;
Loop through complement to get the items.
public class MyTypeComparer : IEqualityComparer<MyType>
{
public MyTypeComparer()
{
}
#region IComparer<MyType> Members
public bool Equals(MyType x, MyType y)
{
return string.Equals(x.Id, y.Id);
}
public int GetHashCode(MyType obj)
{
return base.GetHashCode();
}
#endregion
}
Then, using Linq:
c3 collection = new collection().add(c1);
c3.add(c2);
var items = c3.Distinct(new MyTypeComparer());
You could also do it using generics and predicates. If you need a sample, let me know.

List.Sort in C#: comparer being called with null object

I am getting strange behaviour using the built-in C# List.Sort function with a custom comparer.
For some reason it sometimes calls the comparer class's Compare method with a null object as one of the parameters. But if I check the list with the debugger there are no null objects in the collection.
My comparer class looks like this:
public class DelegateToComparer<T> : IComparer<T>
{
private readonly Func<T,T,int> _comparer;
public int Compare(T x, T y)
{
return _comparer(x, y);
}
public DelegateToComparer(Func<T, T, int> comparer)
{
_comparer = comparer;
}
}
This allows a delegate to be passed to the List.Sort method, like this:
mylist.Sort(new DelegateToComparer<MyClass>(
(x, y) => {
return x.SomeProp.CompareTo(y.SomeProp);
});
So the above delegate will throw a null reference exception for the x parameter, even though no elements of mylist are null.
UPDATE: Yes I am absolutely sure that it is parameter x throwing the null reference exception!
UPDATE: Instead of using the framework's List.Sort method, I tried a custom sort method (i.e. new BubbleSort().Sort(mylist)) and the problem went away. As I suspected, the List.Sort method passes null to the comparer for some reason.
This problem will occur when the comparison function is not consistent, such that x < y does not always imply y < x. In your example, you should check how two instances of the type of SomeProp are being compared.
Here's an example that reproduces the problem. Here, it's caused by the pathological compare function "compareStrings". It's dependent on the initial state of the list: if you change the initial order to "C","B","A", then there is no exception.
I wouldn't call this a bug in the Sort function - it's simply a requirement that the comparison function is consistent.
using System.Collections.Generic;
class Program
{
static void Main()
{
var letters = new List<string>{"B","C","A"};
letters.Sort(CompareStrings);
}
private static int CompareStrings(string l, string r)
{
if (l == "B")
return -1;
return l.CompareTo(r);
}
}
Are you sure the problem isn't that SomeProp is null?
In particular, with strings or Nullable<T> values.
With strings, it would be better to use:
list.Sort((x, y) => string.Compare(x.SomeProp, y.SomeProp));
(edit)
For a null-safe wrapper, you can use Comparer<T>.Default - for example, to sort a list by a property:
using System;
using System.Collections.Generic;
public static class ListExt {
public static void Sort<TSource, TValue>(
this List<TSource> list,
Func<TSource, TValue> selector) {
if (list == null) throw new ArgumentNullException("list");
if (selector == null) throw new ArgumentNullException("selector");
var comparer = Comparer<TValue>.Default;
list.Sort((x,y) => comparer.Compare(selector(x), selector(y)));
}
}
class SomeType {
public override string ToString() { return SomeProp; }
public string SomeProp { get; set; }
static void Main() {
var list = new List<SomeType> {
new SomeType { SomeProp = "def"},
new SomeType { SomeProp = null},
new SomeType { SomeProp = "abc"},
new SomeType { SomeProp = "ghi"},
};
list.Sort(x => x.SomeProp);
list.ForEach(Console.WriteLine);
}
}
I too have come across this problem (null reference being passed to my custom IComparer implementation) and finally found out that the problem was due to using inconsistent comparison function.
This was my initial IComparer implementation:
public class NumericStringComparer : IComparer<String>
{
public int Compare(string x, string y)
{
float xNumber, yNumber;
if (!float.TryParse(x, out xNumber))
{
return -1;
}
if (!float.TryParse(y, out yNumber))
{
return -1;
}
if (xNumber == yNumber)
{
return 0;
}
else
{
return (xNumber > yNumber) ? 1 : -1;
}
}
}
The mistake in this code was that Compare would return -1 whenever one of the values could not be parsed properly (in my case it was due to wrongly formatted string representations of numeric values so TryParse always failed).
Notice that in case both x and y were formatted incorrectly (and thus TryParse failed on both of them), calling Compare(x, y) and Compare(y, x) would yield the same result: -1. This I think was the main problem. When debugging, Compare() would be passed null string pointer as one of its arguments at some point even though the collection being sorted did not cotain a null string.
As soon as I had fixed the TryParse issue and ensured consistency of my implementation the problem went away and Compare wasn't being passed null pointers anymore.
Marc's answer is useful. I agree with him that the NullReference is due to calling CompareTo on a null property. Without needing an extension class, you can do:
mylist.Sort((x, y) =>
(Comparer<SomePropType>.Default.Compare(x.SomeProp, y.SomeProp)));
where SomePropType is the type of SomeProp
For debugging purposes, you want your method to be null-safe. (or at least, catch the null-ref. exception, and handle it in some hard-coded way). Then, use the debugger to watch what other values get compared, in what order, and which calls succeed or fail.
Then you will find your answer, and you can then remove the null-safety.
Can you run this code ...
mylst.Sort((i, j) =>
{
Debug.Assert(i.SomeProp != null && j.SomeProp != null);
return i.SomeProp.CompareTo(j.SomeProp);
}
);
I stumbled across this issue myself, and found that it was related to a NaN property in my input. Here's a minimal test case that should produce the exception:
public class C {
double v;
public static void Main() {
var test =
new List<C> { new C { v = 0d },
new C { v = Double.NaN },
new C { v = 1d } };
test.Sort((d1, d2) => (int)(d1.v - d2.v));
}
}

LINQ identity function

Just a little niggle about LINQ syntax. I'm flattening an IEnumerable<IEnumerable<T>> with SelectMany(x => x).
My problem is with the lambda expression x => x. It looks a bit ugly. Is there some static 'identity function' object that I can use instead of x => x? Something like SelectMany(IdentityFunction)?
Unless I misunderstand the question, the following seems to work fine for me in C# 4:
public static class Defines
{
public static T Identity<T>(T pValue)
{
return pValue;
}
...
You can then do the following in your example:
var result =
enumerableOfEnumerables
.SelectMany(Defines.Identity);
As well as use Defines.Identity anywhere you would use a lambda that looks like x => x.
Note: this answer was correct for C# 3, but at some point (C# 4? C# 5?) type inference improved so that the IdentityFunction method shown below can be used easily.
No, there isn't. It would have to be generic, to start with:
public static Func<T, T> IdentityFunction<T>()
{
return x => x;
}
But then type inference wouldn't work, so you'd have to do:
SelectMany(Helpers.IdentityFunction<Foo>())
which is a lot uglier than x => x.
Another possibility is that you wrap this in an extension method:
public static IEnumerable<T> Flatten<T>
(this IEnumerable<IEnumerable<T>> source)
{
return source.SelectMany(x => x);
}
Unfortunately with generic variance the way it is, that may well fall foul of various cases in C# 3... it wouldn't be applicable to List<List<string>> for example. You could make it more generic:
public static IEnumerable<TElement> Flatten<TElement, TWrapper>
(this IEnumerable<TWrapper> source) where TWrapper : IEnumerable<TElement>
{
return source.SelectMany(x => x);
}
But again, you've then got type inference problems, I suspect...
EDIT: To respond to the comments... yes, C# 4 makes this easier. Or rather, it makes the first Flatten method more useful than it is in C# 3. Here's an example which works in C# 4, but doesn't work in C# 3 because the compiler can't convert from List<List<string>> to IEnumerable<IEnumerable<string>>:
using System;
using System.Collections.Generic;
using System.Linq;
public static class Extensions
{
public static IEnumerable<T> Flatten<T>
(this IEnumerable<IEnumerable<T>> source)
{
return source.SelectMany(x => x);
}
}
class Test
{
static void Main()
{
List<List<string>> strings = new List<List<string>>
{
new List<string> { "x", "y", "z" },
new List<string> { "0", "1", "2" }
};
foreach (string x in strings.Flatten())
{
Console.WriteLine(x);
}
}
}
With C# 6.0 and if you reference FSharp.Core you can do:
using static Microsoft.FSharp.Core.Operators
And then you're free to do:
SelectMany(Identity)
With C# 6.0 things are getting better. We can define the identity function in the way suggested by #Sahuagin:
static class Functions
{
public static T It<T>(T item) => item;
}
And then use it in SelectMany the using static constructor:
using Functions;
...
var result = enumerableOfEnumerables.SelectMany(It);
I think it looks very laconic in the such way. I also find the identity function useful when building dictionaries:
class P
{
P(int id, string name) // Sad. We are not getting primary constructors in C# 6.0
{
ID = id;
Name = id;
}
int ID { get; }
int Name { get; }
static void Main(string[] args)
{
var items = new[] { new P(1, "Jack"), new P(2, "Jill"), new P(3, "Peter") };
var dict = items.ToDictionary(x => x.ID, It);
}
}
This may work in the way you want. I realize Jon posted a version of this solution, but he has a second type parameter which is only necessary if the resulting sequence type is different from the source sequence type.
public static IEnumerable<T> Flatten<T>(this IEnumerable<T> source)
where T : IEnumerable<T>
{
return source.SelectMany(item => item);
}
You can get close to what you need. Instead of a regular static function, consider an extension method for your IEnumerable<T>, as if the identity function is of the collection, not the type (a collection can generate the identity function of its items):
public static Func<T, T> IdentityFunction<T>(this IEnumerable<T> enumerable)
{
return x => x;
}
with this, you don't have to specify the type again, and write:
IEnumerable<IEnumerable<T>> deepList = ... ;
var flat = deepList.SelectMany(deepList.IdentityFunction());
This does feel a bit abusive though, and I'd probably go with x=>x. Also, you cannot use it fluently (in chaining), so it will not always be useful.
I'd go with a simple class with a single static property and add as many as required down the line
internal class IdentityFunction<TSource>
{
public static Func<TSource, TSource> Instance
{
get { return x => x; }
}
}
SelectMany(IdentityFunction<Foo>.Instance)

How do I pass a Linq query to a method?

I'd like to pass a Linq query to a method, how do I specify the argument type?
My link query look something like:
var query =
from p in pointList
where p.X < 100
select new {X = p.X, Y = p.Y}
clearly I'm new to Linq, and will probably get rid of the receiving method eventually when I convert the rest of my code, but it seems like something I should know...
thanks
You'll need to either use a normal type for the projection, or make the method you're passing it to generic as well (which will mean you can't do as much with it). What exactly are you trying to do? If you need to use the X and Y values from the method, you'll definitely need to create a normal type. (There are horribly hacky ways of avoiding it, but they're not a good idea.)
Note: some other answers are currently talking about IQueryable<T>, but there's no indication that you're using anything more than LINQ to Objects, in which case it'll be an IEnumerable<T> instead - but the T is currently an anonymous type. That's the bit you'll need to work on if you want to use the individual values within each item. If you're not using LINQ to Objects, please clarify the question and I'll edit this answer.
For example, taking your current query (which is slightly broken, as you can't use two projection initializers twice with the same name X). You'd create a new type, e.g. MyPoint
public sealed class MyPoint
{
private readonly int x;
private readonly int y;
public int X { get { return x; } }
public int Y { get { return y; } }
public MyPoint(int x, int y)
{
this.x = x;
this.y = y;
}
}
Your query would then be:
var query =
from p in pointList
where p.X < 100
select new MyPoint(p.X, p.Y);
You'd then write your method as:
public void SomeMethod(IEnumerable<MyPoint> points)
{
...
}
And call it as SomeMethod(query);
I think what you are looking for is the Expression class. For instance,
public void DoSomething()
{
User user = GetUser(x => x.ID == 12);
}
IQueryable<User> UserCollection;
public User GetUser(Expression<Func<User,bool>> expression)
{
return UserCollection.expression;
}
public void DoSomething(IQueryable query) { ... }
public void DoSomething<T>(IQueryable<T> query) { ... }
And just in case (if you will need passing expressions):
public void DoSomething(Expression exp) { ... }
While both tvanfosson and Jon are correct, you can just write your function to accept an IEnumerable<T> (you can either make your function generic or you can specify the specific concrete generic version you want, which is more likely the correct option) as LINQ to Objects produces an IEnumerable<T> and LINQ to SQL produces an IQueryable<T>, which implements IEnumerable<T>. This option should allow you to be source-agnostic.
you can also use the below code:
IEnumerable <TableName> result = from x in dataBase.TableName
select x;
methodName(result);
private void methodName (IEnumerable<TableName> result)
{
codes.....
}

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