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java - Removing code duplication

I am trying to create a little functional programming library for Java (just to scratch my own itch). While defining the higher-order functions for Lists, Sets and Maps I have come across this problem: The functions that take a collection, and return a collection of same type have almost the same implementation, and yet have to be redefined for each of the data structure - Lists, Sets, and Maps.

For example, here is the implementation of map function for Lists, and Sets:

public static <A, B> List<B> map(
  List<? extends A> xs, 
  Func1<? super A, ? extends B> transformer
) {
  List<B> ys = new ArrayList<B>();
  for(A a : xs) {
    ys.add(transformer.apply(a));
  }
  return ys;
}

public static <A, B> Set<B> map(
  Set<? extends A> xs, 
  Func1<? super A, ? extends B> transformer
) {
  Set<B> ys = new HashSet<B>();
  for(A a : xs) {
    ys.add(transformer.apply(a));
  }
  return ys;
}

A filter function:

public static <A> List<A> filter(
  List<? extends A> xs, 
  Func1<? super A, Boolean> predicate
) {
  List<A> ys = new ArrayList<A>();
  for(A a : xs) {
    if(predicate.apply(a)) {
      ys.add(a);
    }
  }
  return ys;
}

public static <A> Set<A> filter(
  Set<? extends A> xs, 
  Func1<? super A, Boolean> predicate
) {
  Set<A> ys = new HashSet<A>();
  for(A a : xs) {
    if(predicate.apply(a)) {
      ys.add(a);
    }
  }
  return ys;
}

As can be seen from this example, the bodies of the implementations for Set and List are almost the same.

There are lot many functions like map and filter in my library, and each of those is defined thrice for each type of collections I am interested in (i.e. List, Set, and Map). This leads to a lot of code duplication, and code smell. I wanted to know whether there's some way in Java that would help me avoid all the code duplication.

Any help will be greatly appreciated. Thanks.

EDIT:

Func1 is an interface defined as:

interface Func1<A, B> {
  public B apply(A a);
}
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public static <A, B> List<B> map(
  List<? extends A> xs, 
  Func1<? super A, ? extends B> transformer
) {
  List<B> ys = new ArrayList<B>();
  map(xy, transformer, ys);
  return ys;
}

public static <A, B> Set<B> map(
  Set<? extends A> xs, 
  Func1<? super A, ? extends B> transformer
) {
  Set<B> ys = new HashSet<B>();
  map(xy, transformer, ys);
  return ys;
}
private static <A, B> map(
  Collection<? extends A> xs, 
  Func1<? super A, ? extends B> transformer,
  Iterable<B> ys
) {
  for(A a : xs) {
    ys.add(transformer.apply(a));
  }
}

Job done.

Note, it's typical of Java APIs, to pass the mutable the collection in, rather than create a new one in the method. Personally, I'm not a fan of mutability at the collection level, but it's what we have to work with (in Java).

(I'm not keen on A and B as generic parameters with this sort of stuff.)

Or you could use a factory:

public static <A, B> List<B> map(
  List<? extends A> xs, 
  Func1<? super A, ? extends B> transformer
) {
  return map(xs, transformer, new CollectionFactory<B, List<B>>() {
      public List<B> create() { return new ArrayList<B>(); }
  });
}

public static <A, B> Set<B> map(
  Set<? extends A> xs, 
  Func1<? super A, ? extends B> transformer
) {
  return map(xs, transformer, new CollectionFactory<B, Set<B>>() {
      public Set<B> create() { return new HashSet<B>(); }
  });
}

private interface CollectionFactory<E, C extends Collection<E>> {
    C create();
}

private static <A, B, C extends Collection<B>> C map(
  Iterable<? extends A> xs, 
  Func1<? super A, ? extends B> transformer,
  CollectionFactory<B, C> factory
) {
  C ys = factory.create();
  for(A a : xs) {
    ys.add(transformer.apply(a));
  }
  return ys;
}

(If you can put up with the pointless verbosity of anonymous inner classes.)

If it wasn't for Collection then you'd need to put some (ugly) adapter in.

For completeness (though not tested, could do with a few tweaks), an unpleasant solution using inheritance:

Set<String> strs = hashSets().map(things, formatter);

...

public static <E> Functions<E, Set<E>> hashSets() {
    return new Functions<E, Set<E>>() {
        protected Set<E> createCollections() {
            return new HashSet<E>();
        }
    };
}

public abstract class Functions<E, C extends Collection<E>> {
    protected abstract C createCollection();

    public <S> C map(
      Set<? extends S> xs, 
      Func1<? super S, ? extends E> transformer
    ) {
      C ys = createCollection();
      for(S a : xs) {
        ys.add(transformer.apply(a));
      }
      return ys;
    }

    public <S> C filter(
      List<? extends S> xs, 
      Func1<? super S, Boolean> predicate // Predicate<? super S> might be nicer!!
    ) {
      C ys = createCollection();
      for(A a : xs) {
        if(predicate.apply(a)) {
          ys.add(a);
        }
      }
      return ys;
    }
}

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