Infinite List Summary

InfiniteList Concept

Represents potentially infinite sequences
Lazily evaluated
Uses head/tail structure

Example:

class InfiniteList<T> {
  private final Producer<T> head;
  private final Producer<InfiniteList<T>> tail;

  public InfiniteList(Producer<T> head, 
      Producer<InfiniteList<T>> tail) {
    this.head = head;
    this.tail = tail;
  }
}

Creating Infinite Lists

Generate Method:

public static <T> InfiniteList<T> generate(Producer<T> producer) {
  return new InfiniteList<>(producer,
      () -> generate(producer));
}

Iterate Method:

public static <T> InfiniteList<T> iterate(T seed, 
    Transformer<T,T> next) {
  return new InfiniteList<>(() -> seed,
      () -> iterate(next.transform(seed), next));
}

Operations on InfiniteList

map: Transform elements
filter: Select elements
limit: Take first n elements

Example:

InfiniteList<Integer> numbers = InfiniteList
  .iterate(0, x -> x + 1)     // 0,1,2,3,...
  .filter(x -> x % 2 == 0)    // 0,2,4,6,...
  .map(x -> x * x)            // 0,4,16,36,...
  .limit(5);                  // first 5 elements

Lazy Evaluation Benefits

Memory efficient
Handles infinite sequences
Computes only needed values

Example:

InfiniteList<Integer> primes = InfiniteList
  .iterate(2, n -> n + 1)
  .filter(n -> isPrime(n));  // only checks primality when needed

Implementation Details

Head and tail are producers
Evaluation happens on demand
Memoization for efficiency

Example:

public T head() {
  return head.produce();  // evaluated only when called
}

public InfiniteList<T> tail() {
  return tail.produce();  // evaluated only when called
}

Best Practices

Use lazy operations
Implement memoization
Handle termination cases
Consider memory usage
Document infinite behavior
Test with finite prefixes