Packages

abstract class Nat extends AnyRef

Natural numbers for indexing in HLists.

All type-level computations are done with Church Numerals. Value-level computations at run-time are done directly on the underlying Int values, similar to java.lang.Integer.

Source
Nat.scala
Linear Supertypes
AnyRef, Any
Known Subclasses
Succ, Zero
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. Nat
  2. AnyRef
  3. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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  2. Show All
Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new Nat()

Type Members

  1. abstract type *[_ <: Nat] <: Nat

    Multiply another Nat with this one.

  2. abstract type +[_ <: Nat] <: Nat

    Add another Nat to this one.

  3. type ++ = Succ[Self]

    Increment this Nat.

  4. abstract type Flip_^[_ <: Nat] <: Nat
  5. abstract type Fold[U, F[_ <: U] <: U, Z <: U] <: U

    The type of a folding operation on this Nat.

  6. abstract type Self <: Nat

    The type of this Nat object.

  7. type ^[T <: Nat] = ^.T.Flip_^[Self]

    Raise this Nat to the exponent given by another Nat.

  8. type _0 = Self.*[_10]

    Multiply this Nat by 10.

  9. type _1 = *.+[Nat._1]

    Multiply this Nat by 10, then add 1.

  10. type _2 = *.+[Nat._2]

    Multiply this Nat by 10, then add 2.

  11. type _3 = *.+[Nat._3]

    Multiply this Nat by 10, then add 3.

  12. type _4 = *.+[Nat._4]

    Multiply this Nat by 10, then add 4.

  13. type _5 = *.+[Nat._5]

    Multiply this Nat by 10, then add 5.

  14. type _6 = *.+[Nat._6]

    Multiply this Nat by 10, then add 6.

  15. type _7 = *.+[Nat._7]

    Multiply this Nat by 10, then add 7.

  16. type _8 = *.+[Nat._8]

    Multiply this Nat by 10, then add 8.

  17. type _9 = *.+[Nat._9]

    Multiply this Nat by 10, then add 9.

Abstract Value Members

  1. abstract def self: Self

    This Nat, typed as Self.

  2. abstract def value: Int

    The equivalent Int value for this Nat.

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. def *[T <: Nat](n: T): *[T]

    Multiply another Nat with this one.

  4. def +[T <: Nat](n: T): +[T]

    Add another Nat to this one.

  5. def ++: ++

    Increment this Nat.

  6. def ->[B](y: B): (Nat, B)
    Implicit
    This member is added by an implicit conversion from Nat toArrowAssoc[Nat] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  7. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  8. def ^[T <: Nat](n: T): ^[T]

    Raise this Nat to the exponent given by another Nat.

  9. def _0: _0

    Multiply this Nat by 10.

  10. def _1: _1

    Multiply this Nat by 10, then add 1.

  11. def _2: _2

    Multiply this Nat by 10, then add 2.

  12. def _3: _3

    Multiply this Nat by 10, then add 3.

  13. def _4: _4

    Multiply this Nat by 10, then add 4.

  14. def _5: _5

    Multiply this Nat by 10, then add 5.

  15. def _6: _6

    Multiply this Nat by 10, then add 6.

  16. def _7: _7

    Multiply this Nat by 10, then add 7.

  17. def _8: _8

    Multiply this Nat by 10, then add 8.

  18. def _9: _9

    Multiply this Nat by 10, then add 9.

  19. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  20. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  21. def ensuring(cond: (Nat) => Boolean, msg: => Any): Nat
    Implicit
    This member is added by an implicit conversion from Nat toEnsuring[Nat] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  22. def ensuring(cond: (Nat) => Boolean): Nat
    Implicit
    This member is added by an implicit conversion from Nat toEnsuring[Nat] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  23. def ensuring(cond: Boolean, msg: => Any): Nat
    Implicit
    This member is added by an implicit conversion from Nat toEnsuring[Nat] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  24. def ensuring(cond: Boolean): Nat
    Implicit
    This member is added by an implicit conversion from Nat toEnsuring[Nat] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  25. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  26. def equals(o: Any): Boolean
    Definition Classes
    Nat → AnyRef → Any
  27. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  28. def hashCode(): Int
    Definition Classes
    Nat → AnyRef → Any
  29. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  30. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  31. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  32. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  33. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  34. def toString(): String
    Definition Classes
    Nat → AnyRef → Any
  35. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  36. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  37. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

Shadowed Implicit Value Members

  1. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from Nat toany2stringadd[Nat] performed by method any2stringadd in scala.Predef.
    Shadowing
    This implicitly inherited member is shadowed by one or more members in this class.
    To access this member you can use a type ascription:
    (nat: any2stringadd[Nat]).+(other)
    Definition Classes
    any2stringadd

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable]) @Deprecated
    Deprecated
  2. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from Nat toStringFormat[Nat] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @deprecated @inline()
    Deprecated

    (Since version 2.12.16) Use formatString.format(value) instead of value.formatted(formatString), or use the f"" string interpolator. In Java 15 and later, formatted resolves to the new method in String which has reversed parameters.

  3. def →[B](y: B): (Nat, B)
    Implicit
    This member is added by an implicit conversion from Nat toArrowAssoc[Nat] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @deprecated
    Deprecated

    (Since version 2.13.0) Use -> instead. If you still wish to display it as one character, consider using a font with programming ligatures such as Fira Code.

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromNat to any2stringadd[Nat]

Inherited by implicit conversion StringFormat fromNat to StringFormat[Nat]

Inherited by implicit conversion Ensuring fromNat to Ensuring[Nat]

Inherited by implicit conversion ArrowAssoc fromNat to ArrowAssoc[Nat]

Ungrouped