trait Relation[A, B] extends AnyRef

Binary relation between A and B. It is a set of pairs (_1, _2) for _1 in A, _2 in B.

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Abstract Value Members

  1. abstract def +(a: A, bs: Traversable[B]): Relation[A, B]

    Includes in the relation (a, b) for all b in bs.

  2. abstract def +(a: A, b: B): Relation[A, B]

    Includes (a, b) in the relation.

  3. abstract def +(pair: (A, B)): Relation[A, B]

    Includes pair in the relation.

  4. abstract def ++(rs: Traversable[(A, B)]): Relation[A, B]

    Includes the given pairs in this relation.

  5. abstract def ++(r: Relation[A, B]): Relation[A, B]

    Returns the union of the relation r with this relation.

  6. abstract def -(pair: (A, B)): Relation[A, B]

    Removes pair from this relation.

  7. abstract def -(_1: A): Relation[A, B]

    Removes all pairs (_1, _2) from this relation.

  8. abstract def --(relations: Relation[A, B]): Relation[A, B]

    Removes all relations from this relation.

  9. abstract def --(pairs: TraversableOnce[(A, B)]): Relation[A, B]

    Removes all pairs from this relation.

  10. abstract def --(_1s: Traversable[A]): Relation[A, B]

    Removes all elements (_1, _2) for all _1 in _1s from this relation.

  11. abstract def _1s: Set[A]

    Returns the set of all _1s such that (_1, _2) is in this relation.

  12. abstract def _2s: Set[B]

    Returns the set of all _2s such that (_1, _2) is in this relation.

  13. abstract def all: Traversable[(A, B)]

    Returns all pairs in this relation.

  14. abstract def contains(a: A, b: B): Boolean

    Returns true iff (a,b) is in this relation

  15. abstract def filter(f: (A, B) ⇒ Boolean): Relation[A, B]

    Returns a relation with only pairs (a,b) for which f(a,b) is true.

  16. abstract def forward(_1: A): Set[B]

    Returns the set of all _2s such that (_1, _2) is in this relation.

  17. abstract def forwardMap: Map[A, Set[B]]

    Represents this relation as a Map from a _1 to the set of _2s such that (_1, _2) is in this relation.

    Represents this relation as a Map from a _1 to the set of _2s such that (_1, _2) is in this relation.

    Specifically, there is one entry for each _1 such that (_1, _2) is in this relation for some _2. The value associated with a given _1 is the set of all _2s such that (_1, _2) is in this relation.

  18. abstract def groupBy[K](discriminator: ((A, B)) ⇒ K): Map[K, Relation[A, B]]

    Partitions this relation into a map of relations according to some discriminator function.

  19. abstract def partition(f: (A, B) ⇒ Boolean): (Relation[A, B], Relation[A, B])

    Returns a pair of relations: the first contains only pairs (a,b) for which f(a,b) is true and the other only pairs (a,b) for which f(a,b) is false.

  20. abstract def reverse(_2: B): Set[A]

    Returns the set of all _1s such that (_1, _2) is in this relation.

  21. abstract def reverseMap: Map[B, Set[A]]

    Represents this relation as a Map from a _2 to the set of _1s such that (_1, _2) is in this relation.

    Represents this relation as a Map from a _2 to the set of _1s such that (_1, _2) is in this relation.

    Specifically, there is one entry for each _2 such that (_1, _2) is in this relation for some _1. The value associated with a given _2 is the set of all _1s such that (_1, _2) is in this relation.

  22. abstract def size: Int

    Returns the number of pairs in this relation

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