Injection

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

Inverted

Abstract Value Members

abstract def apply(t: T): S

Maps an element of type T to S.
abstract def invert(s: S): T

Inverse mapping from S to T.
abstract def isDefinedAt(t: T): Boolean
abstract def isDefinedInverse(s: S): Boolean

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

Concrete Value Members

final def !=(arg0: AnyRef): Boolean

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

Definition Classes
Any
final def ##(): Int

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

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

Definition Classes
Any
final def asInstanceOf[T0]: T0

Definition Classes
Any
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( ... )
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
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
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
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
final def eq(arg0: AnyRef): Boolean

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

Definition Classes
AnyRef → Any
def finalize(): Unit

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

Definition Classes
AnyRef → Any
def hashCode(): Int

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

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

Definition Classes
AnyRef
final def notify(): Unit

Definition Classes
AnyRef
final def notifyAll(): Unit

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

Definition Classes
AnyRef
def toString(): String

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

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

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

Definition Classes
AnyRef
Annotations
@throws( ... )
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

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
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

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
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

trait Injection[T, S] extends AnyRef

Abstract Value Members

abstract def apply(t: T): S

abstract def invert(s: S): T

abstract def isDefinedAt(t: T): Boolean

abstract def isDefinedInverse(s: S): Boolean

Concrete Value Members

final def !=(arg0: AnyRef): Boolean

final def !=(arg0: Any): Boolean

final def ##(): Int

def +(other: String): String

def ->[B](y: B): (Injection[T, S], B)

final def ==(arg0: AnyRef): Boolean

final def ==(arg0: Any): Boolean

final def asInstanceOf[T0]: T0

def clone(): AnyRef

def ensuring(cond: (Injection[T, S]) ⇒ Boolean, msg: ⇒ Any): Injection[T, S]

def ensuring(cond: (Injection[T, S]) ⇒ Boolean): Injection[T, S]

def ensuring(cond: Boolean, msg: ⇒ Any): Injection[T, S]

def ensuring(cond: Boolean): Injection[T, S]

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

def finalize(): Unit

def formatted(fmtstr: String): String

def function: PartialFunction[T, S]

final def getClass(): Class[_]

def hashCode(): Int

def inverse: Injection[S, T]

final def isInstanceOf[T0]: Boolean

final def ne(arg0: AnyRef): Boolean

final def notify(): Unit

final def notifyAll(): Unit

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

def toString(): String

final def wait(): Unit

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

final def wait(arg0: Long): Unit

def →[B](y: B): (Injection[T, S], B)

Shadowed Implicit Value Members

val self: Any

val self: Any

Deprecated Value Members

def x: Injection[T, S]

def x: Injection[T, S]

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]]

Ungrouped