scala.reactive.algebra

Injection

trait Injection[T, S] extends AnyRef

An injective function between values of two types T and S.

In mathematics, an injection maps elements of type T into exactly one element of type S, and can map some elements of type S into one element of type T. An injection is undefined for some values in S. Here, an injection may also be undefined for some elements in T. An injection is a partial function and its partial inverse bundled together.

For example, a mapping from natural numbers to twice their value forms an injection 1 -> 2, 2 -> 4, 3 -> 6 and so on. The inverse is not defined for every natural number -- 2 is mapped to 1, but 3 is not mapped to anything.

Additionally, it has the property that b.inv(b.apply(x)) == x. If b.inv is defined for x, then b.apply(b.inv(x)) == x.

Note: Injection is not specialized, and neither is the standard library PartialFunction class.

Self Type
Injection[T, S]
Linear Supertypes
AnyRef, Any
Known Subclasses
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Inherited
  1. Injection
  2. AnyRef
  3. Any
Implicitly
  1. by any2stringadd
  2. by any2stringfmt
  3. by any2ArrowAssoc
  4. by any2Ensuring
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  1. Public
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Abstract Value Members

  1. abstract def apply(t: T): S

    Maps an element of type T to S.

  2. abstract def invert(s: S): T

    Inverse mapping from S to T.

  3. abstract def isDefinedAt(t: T): Boolean

  4. abstract def isDefinedInverse(s: S): Boolean

    Checks if value s of type S maps back to T.

Concrete 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. def +(other: String): String

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to StringAdd performed by method any2stringadd in scala.Predef.
    Definition Classes
    StringAdd
  5. def ->[B](y: B): (Injection[T, S], B)

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to ArrowAssoc[Injection[T, S]] performed by method any2ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  6. final def ==(arg0: AnyRef): Boolean

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

    Definition Classes
    Any
  8. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  9. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  10. def ensuring(cond: (Injection[T, S]) ⇒ Boolean, msg: ⇒ Any): Injection[T, S]

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to Ensuring[Injection[T, S]] performed by method any2Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  11. def ensuring(cond: (Injection[T, S]) ⇒ Boolean): Injection[T, S]

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to Ensuring[Injection[T, S]] performed by method any2Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. def ensuring(cond: Boolean, msg: ⇒ Any): Injection[T, S]

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to Ensuring[Injection[T, S]] performed by method any2Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  13. def ensuring(cond: Boolean): Injection[T, S]

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to Ensuring[Injection[T, S]] performed by method any2Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. final def eq(arg0: AnyRef): Boolean

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

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

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  17. def formatted(fmtstr: String): String

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to StringFormat performed by method any2stringfmt in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  18. def function: PartialFunction[T, S]

    Get the partial function version of this injection.

    Get the partial function version of this injection.

    To get the partial function version of the inverse, call f.inverse.function.

  19. final def getClass(): Class[_]

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

    Definition Classes
    AnyRef → Any
  21. def inverse: Injection[S, T]

    Returns a new injection, which is the inverse of this one.

    Returns a new injection, which is the inverse of this one.

    This is different than calling invert, which just maps a single value.

  22. final def isInstanceOf[T0]: Boolean

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

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

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

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

    Definition Classes
    AnyRef
  27. def toString(): String

    Definition Classes
    AnyRef → Any
  28. final def wait(): Unit

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  31. def [B](y: B): (Injection[T, S], B)

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to ArrowAssoc[Injection[T, S]] performed by method any2ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Shadowed Implicit Value Members

  1. val self: Any

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to StringAdd performed by method any2stringadd in scala.Predef.
    Shadowing
    This implicitly inherited member is ambiguous. One or more implicitly inherited members have similar signatures, so calling this member may produce an ambiguous implicit conversion compiler error.
    To access this member you can use a type ascription:
    (injection: StringAdd).self
    Definition Classes
    StringAdd
  2. val self: Any

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to StringFormat performed by method any2stringfmt in scala.Predef.
    Shadowing
    This implicitly inherited member is ambiguous. One or more implicitly inherited members have similar signatures, so calling this member may produce an ambiguous implicit conversion compiler error.
    To access this member you can use a type ascription:
    (injection: StringFormat).self
    Definition Classes
    StringFormat

Deprecated Value Members

  1. def x: Injection[T, S]

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to ArrowAssoc[Injection[T, S]] performed by method any2ArrowAssoc in scala.Predef.
    Shadowing
    This implicitly inherited member is ambiguous. One or more implicitly inherited members have similar signatures, so calling this member may produce an ambiguous implicit conversion compiler error.
    To access this member you can use a type ascription:
    (injection: ArrowAssoc[Injection[T, S]]).x
    Definition Classes
    ArrowAssoc
    Annotations
    @deprecated
    Deprecated

    (Since version 2.10.0) Use leftOfArrow instead

  2. def x: Injection[T, S]

    Implicit information
    This member is added by an implicit conversion from Injection[T, S] to Ensuring[Injection[T, S]] performed by method any2Ensuring in scala.Predef.
    Shadowing
    This implicitly inherited member is ambiguous. One or more implicitly inherited members have similar signatures, so calling this member may produce an ambiguous implicit conversion compiler error.
    To access this member you can use a type ascription:
    (injection: Ensuring[Injection[T, S]]).x
    Definition Classes
    Ensuring
    Annotations
    @deprecated
    Deprecated

    (Since version 2.10.0) Use resultOfEnsuring instead

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd from Injection[T, S] to StringAdd

Inherited by implicit conversion any2stringfmt from Injection[T, S] to StringFormat

Inherited by implicit conversion any2ArrowAssoc from Injection[T, S] to ArrowAssoc[Injection[T, S]]

Inherited by implicit conversion any2Ensuring from Injection[T, S] to Ensuring[Injection[T, S]]

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