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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1. Relation
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Abstract Value Members

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

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

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

Includes the relation (a, b).

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

Includes the relation given by `pair`.

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

Includes the given relations.

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 --(pairs: TraversableOnce[(A, B)]): Relation[A, B]

Removes all `pairs` from this relation.

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

Removes all relations (_1, _2) for all _1 in _1s.

10. abstract def _1s: Set[A]

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

11. abstract def _2s: Set[B]

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

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

Returns all pairs in this relation.

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

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

14. 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.

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

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

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

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

19. abstract def size: Int

Returns the number of pairs in this relation

Concrete Value Members

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

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

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3. final def ##(): Int

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4. final def ==(arg0: AnyRef): Boolean

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5. final def ==(arg0: Any): Boolean

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6. final def asInstanceOf[T0]: T0

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7. def clone(): AnyRef

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8. final def eq(arg0: AnyRef): Boolean

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9. def equals(arg0: Any): Boolean

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10. def finalize(): Unit

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11. final def getClass(): java.lang.Class[_]

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12. def hashCode(): Int

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13. final def isInstanceOf[T0]: Boolean

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14. final def ne(arg0: AnyRef): Boolean

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15. final def notify(): Unit

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16. final def notifyAll(): Unit

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

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18. def toString(): String

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19. final def wait(): Unit

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20. final def wait(arg0: Long, arg1: Int): Unit

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21. final def wait(arg0: Long): Unit

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