com.twitter.algebird

SemigroupCombinator

class SemigroupCombinator[A, B] extends Semigroup[(A, B)]

This is a combinator on semigroups, after you do the plus, you transform B with a fold function This will not be valid for all fold functions. You need to prove that it is still associative.

Clearly only values of (a,b) are valid if fold(a,b) == b, so keep that in mind.

I have not yet found a sufficient condition on (A,B) => B that makes it correct Clearly a (trivial) constant function {(l,r) => r} works. Also, if B is List[T], and (l:A,r:List[T]) = r.sortBy(fn(l)) this works as well (due to the associativity on A, and the fact that the list never loses data).

For approximate lists (like top-K applications) this might work (or be close enough to associative that for approximation algorithms it is fine), and in fact, that is the main motivation of this code: Produce some ordering in A, and use it to do sorted-topK on the list in B.

Seems like an open topic here.... you are obliged to think on your own about this.

Linear Supertypes
Semigroup[(A, B)], AdditiveSemigroup[(A, B)], cats.kernel.Semigroup[(A, B)], Serializable, Serializable, AnyRef, Any
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Inherited
  1. SemigroupCombinator
  2. Semigroup
  3. AdditiveSemigroup
  4. Semigroup
  5. Serializable
  6. Serializable
  7. AnyRef
  8. Any
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Instance Constructors

  1. new SemigroupCombinator(fold: (A, B) ⇒ B)(implicit arg0: Semigroup[A], arg1: Semigroup[B])

Value Members

  1. final def !=(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any
  3. final def ##(): Int

    Definition Classes
    AnyRef → Any
  4. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  5. final def ==(arg0: Any): Boolean

    Definition Classes
    Any
  6. def additive: algebra.Semigroup[(A, B)]

    Definition Classes
    Semigroup → AdditiveSemigroup
  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  8. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  9. def combine(l: (A, B), r: (A, B)): (A, B)

    Definition Classes
    Semigroup → Semigroup
  10. def combineAllOption(iter: TraversableOnce[(A, B)]): Option[(A, B)]

    Definition Classes
    Semigroup → Semigroup
  11. def combineN(a: (A, B), n: Int): (A, B)

    Definition Classes
    Semigroup
  12. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  13. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  14. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  15. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any
  16. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  17. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  18. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  19. final def notify(): Unit

    Definition Classes
    AnyRef
  20. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  21. def plus(left: (A, B), right: (A, B)): (A, B)

    Definition Classes
    SemigroupCombinator → AdditiveSemigroup
  22. def positiveSumN(a: (A, B), n: Int): (A, B)

    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup
  23. def repeatedCombineN(a: (A, B), n: Int): (A, B)

    Attributes
    protected[this]
    Definition Classes
    Semigroup
  24. def sumN(a: (A, B), n: Int): (A, B)

    Definition Classes
    AdditiveSemigroup
  25. def sumOption(iter: TraversableOnce[(A, B)]): Option[(A, B)]

    Returns an instance of T calculated by summing all instances in iter in one pass.

    Returns an instance of T calculated by summing all instances in iter in one pass. Returns None if iter is empty, else Some[T].

    iter

    instances of T to be combined

    returns

    None if iter is empty, else an option value containing the summed T

    Definition Classes
    Semigroup
    Note

    Override if there is a faster way to compute this sum than iter.reduceLeftOption using plus.

  26. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  27. def toString(): String

    Definition Classes
    AnyRef → Any
  28. def trySum(iter: TraversableOnce[(A, B)]): Option[(A, B)]

    Definition Classes
    Semigroup → AdditiveSemigroup
  29. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  30. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  31. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Semigroup[(A, B)]

Inherited from AdditiveSemigroup[(A, B)]

Inherited from cats.kernel.Semigroup[(A, B)]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

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