Packages

case class ExtendedFunction[U <: Term with Subs[U], V, X <: Term with Subs[X], Y](dfn: (V) => Y, domrep: ScalaRep[U, V], codomrep: ScalaRep[X, Y]) extends Func[U, X] with Product with Serializable

Formal extension of a function given by a definition and representations for domain and codomain.

Linear Supertypes
Serializable, Product, Equals, Func[U, X], FuncLike[U, X], (U) => X, Term, Subs[Func[U, X]], AnyRef, Any
Type Hierarchy
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Inherited
  1. ExtendedFunction
  2. Serializable
  3. Product
  4. Equals
  5. Func
  6. FuncLike
  7. Function1
  8. Term
  9. Subs
  10. AnyRef
  11. Any
Implicitly
  1. by UnliftOps
  2. by RepSection
  3. by FmlyReps
  4. by ScalaTerm
  5. by any2stringadd
  6. by StringFormat
  7. by Ensuring
  8. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new ExtendedFunction(dfn: (V) => Y, domrep: ScalaRep[U, V], codomrep: ScalaRep[X, Y])

Type Members

  1. abstract type Obj <: FuncLike[U, X]
    Definition Classes
    FuncLike

Value Members

  1. def act(u: U): X

    the action of the function to define: define this method, but use apply.

    the action of the function to define: define this method, but use apply.

    Definition Classes
    ExtendedFunction → Func → FuncLike
  2. def andThen[A](g: (X) => A): (U) => A
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  3. def apply(arg: U): X

    application of the function: use this but define the act method; checks HoTT-type of argument is in the domain and throws exception if it fails.

    application of the function: use this but define the act method; checks HoTT-type of argument is in the domain and throws exception if it fails.

    Definition Classes
    FuncLike → Function1
  4. def applyUnchecked(arg: U): X
    Definition Classes
    FuncLike
  5. def canApply(arg: U): Boolean

    checks if application is valid; can override to allow for example resizing universes

    checks if application is valid; can override to allow for example resizing universes

    arg

    the argument

    returns

    whether the argument has the correct type.

    Definition Classes
    FuncLike
  6. lazy val codom: Typ[X]

    codomain

    codomain

    Definition Classes
    ExtendedFunction → Func
  7. val codomrep: ScalaRep[X, Y]
  8. def compose[A](g: (A) => U): (A) => X
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  9. val depcodom: (U) => Typ[X]
    Definition Classes
    Func → FuncLike
  10. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

    Definition Classes
    Term
  11. val dfn: (V) => Y
  12. lazy val dom: Typ[U]

    domain

    domain

    Definition Classes
    ExtendedFunction → Func → FuncLike
  13. val domrep: ScalaRep[U, V]
  14. def indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  15. def newobj: Func[U, X]

    A new object with the same type, to be used in place of a variable to avoid name clashes.

    A new object with the same type, to be used in place of a variable to avoid name clashes. Should throw exception when invoked for constants.

    Definition Classes
    ExtendedFunction → Subs
  16. def productElementNames: Iterator[String]
    Definition Classes
    Product
  17. def replace(x: Term, y: Term): Func[U, X] with Subs[Func[U, X]]

    refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.

    refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.

    Definition Classes
    Subs
  18. def subs(x: Term, y: Term): Func[U, X]

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    ExtendedFunction → Func → FuncLike → Subs
  19. def term: U
    Implicit
    This member is added by an implicit conversion from ExtendedFunction[U, V, X, Y] toScalaTerm[U, ExtendedFunction[U, V, X, Y]] performed by method ScalaTerm in provingground.scalahott.ScalaRep.This conversion will take place only if an implicit value of type ScalaRep[U, ExtendedFunction[U, V, X, Y]] is in scope.
    Definition Classes
    ScalaTerm
  20. def toString(): String
    Definition Classes
    Function1 → AnyRef → Any
  21. lazy val typ: FuncTyp[U, X]

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    ExtendedFunction → Func → FuncLike → Term
  22. def unlift: PartialFunction[U, B]
    Implicit
    This member is added by an implicit conversion from ExtendedFunction[U, V, X, Y] toUnliftOps[U, B] performed by method UnliftOps in scala.Function1.This conversion will take place only if X is a subclass of Option[B] (X <: Option[B]).
    Definition Classes
    UnliftOps
  23. def usesVar(t: Term): Boolean

    returns whether the variable t is used as a variable in a lambda definition.

    returns whether the variable t is used as a variable in a lambda definition.

    Definition Classes
    Term
  24. def ~~>:[U <: Term with Subs[U]](domrep: ScalaRep[U, U]): DepFuncRep[U, U, Term, Y]
    Implicit
    This member is added by an implicit conversion from ExtendedFunction[U, V, X, Y] toRepSection[U, X, Y] performed by method RepSection in provingground.scalahott.ScalaRep.This conversion will take place only if X is a subclass of ScalaRep[X, Y] (X <: ScalaRep[X, Y]).
    Definition Classes
    RepSection
  25. def ~~>:[V](domrep: ScalaRep[U, V]): DepFuncRep[U, V, X, X]
    Implicit
    This member is added by an implicit conversion from ExtendedFunction[U, V, X, Y] toFmlyReps[U, X] performed by method FmlyReps in provingground.scalahott.ScalaRep.This conversion will take place only if U is a subclass of Term with Subs[U] (U <: Term with Subs[U]) and at the same time X is a subclass of Typ[X] (X <: Typ[X]).
    Definition Classes
    FmlyReps