Packages

  • package root
    Definition Classes
    root
  • package typequux
    Definition Classes
    root
  • object Nat

    Contains implementation traits for Nat and typeconstructor aliases that make usage more pleasant.

    Contains implementation traits for Nat and typeconstructor aliases that make usage more pleasant.

    1. Additive commutativity: +[A, B] =:= +[B, A]

    2. Additive associativity: +[A, +[B, C]] =:= +[+[A, B], C]

    3. Additive identity: +[A, _0] =:= A =:= +[_0, A]

    4. Multiplicative commutativity: *[A, B] =:= *[B, A]

    5. Multiplicative associativity: *[A, *[B, C]] =:= *[*[A, B], C]

    6. Multiplicative identity: *[A, _1] =:= A =:= *[_1, A]

    7. Distributivity: *[A, +[B, C]] =:= +[*[A, B], *[A, C]]

    8. Zero exponent: ^[A, _0] =:= _1

    9. One exponent: ^[_1, A] =:= _1

    10. Exponent Identity: ^[A, _1] =:= A

    11. Total Order

    Author:

    Harshad Deo

    Definition Classes
    typequux
    Since

    0.1

  • ExpFold
  • Fold
  • IncFold
  • Nat0
  • NatRep
  • ProdFold
  • Succ
  • SumFold

object Nat0 extends Nat

Represents zero in peano encoding of natural numbers

Author:

Harshad Deo

Since

0.1

Linear Supertypes
Nat, AnyRef, Any
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. Nat0
  2. Nat
  3. AnyRef
  4. Any
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Visibility
  1. Public
  2. All

Type Members

  1. type Compare[N <: Nat] = Nat0.Compare.N.Match[ConstLt, EQ, Comparison]

    Compares with the other peano number

    Compares with the other peano number

    Author:

    Harshad Deo

    Definition Classes
    Nat0 → Nat
    Since

    0.1

  2. type FoldL[Init <: Type, Type, F <: Fold[Nat, Type]] = Init

    Typelevel FoldLeft

    Typelevel FoldLeft

    Author:

    Harshad Deo

    Definition Classes
    Nat0 → Nat
    Since

    0.1

  3. type FoldR[Init <: Type, Type, F <: Fold[Nat, Type]] = Init

    Typelevel FoldRight

    Typelevel FoldRight

    Author:

    Harshad Deo

    Definition Classes
    Nat0 → Nat
    Since

    0.1

  4. type Match[NonZero[N <: Nat] <: Up, IfZero <: Up, Up] = IfZero

    Typeconstructor for querying whether this is zero or not

    Typeconstructor for querying whether this is zero or not

    Author:

    Harshad Deo

    Definition Classes
    Nat0 → Nat
    Since

    0.1

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  5. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  6. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  7. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  8. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  9. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  10. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  11. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  12. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  13. final def notify(): Unit
    Definition Classes
    AnyRef
  14. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  15. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  16. def toString(): String
    Definition Classes
    AnyRef → Any
  17. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  18. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  19. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Nat

Inherited from AnyRef

Inherited from Any

Ungrouped