trait IsomorphismDecidable[F[_], G[_]] extends Decidable[F] with IsomorphismDivisible[F, G] with IsomorphismInvariantAlt[F, G]
- Source
- Decidable.scala
Linear Supertypes
Ordering
- Alphabetic
- By Inheritance
Inherited
- IsomorphismDecidable
- IsomorphismInvariantAlt
- IsomorphismDivisible
- IsomorphismInvariantApplicative
- IsomorphismDivide
- IsomorphismContravariant
- IsomorphismInvariantFunctor
- Decidable
- InvariantAlt
- Divisible
- InvariantApplicative
- Divide
- Contravariant
- InvariantFunctor
- AnyRef
- Any
- Hide All
- Show All
Visibility
- Public
- All
Type Members
-
trait
ContravariantLaw extends InvariantFunctorLaw
- Definition Classes
- Contravariant
-
trait
DecidableLaw extends DivisibleLaw
- Definition Classes
- Decidable
-
trait
DivideLaw extends ContravariantLaw
- Definition Classes
- Divide
-
trait
DivisibleLaw extends DivideLaw
- Definition Classes
- Divisible
-
trait
InvariantFunctorLaw extends AnyRef
- Definition Classes
- InvariantFunctor
Abstract Value Members
- implicit abstract def G: Decidable[G]
-
abstract
def
iso: Isomorphism.<~>[F, G]
- Definition Classes
- IsomorphismInvariantAlt → IsomorphismInvariantFunctor
Concrete Value Members
-
final
def
!=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
final
def
##(): Int
- Definition Classes
- AnyRef → Any
-
final
def
==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
final
def
asInstanceOf[T0]: T0
- Definition Classes
- Any
-
final
def
choose[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (Z) ⇒ \/[A1, A2]): F[Z]
- Definition Classes
- Decidable
-
def
choose1[Z, A1](a1: ⇒ F[A1])(f: (Z) ⇒ A1): F[Z]
- Definition Classes
- Decidable
-
def
choose2[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (Z) ⇒ \/[A1, A2]): F[Z]
- Definition Classes
- IsomorphismDecidable → Decidable
-
def
choose3[Z, A1, A2, A3](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3])(f: (Z) ⇒ \/[A1, \/[A2, A3]]): F[Z]
- Definition Classes
- Decidable
-
def
choose4[Z, A1, A2, A3, A4](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3], a4: ⇒ F[A4])(f: (Z) ⇒ \/[A1, \/[A2, \/[A3, A4]]]): F[Z]
- Definition Classes
- Decidable
-
final
def
choosing2[Z, A1, A2](f: (Z) ⇒ \/[A1, A2])(implicit fa1: F[A1], fa2: F[A2]): F[Z]
- Definition Classes
- Decidable
-
final
def
choosing3[Z, A1, A2, A3](f: (Z) ⇒ \/[A1, \/[A2, A3]])(implicit fa1: F[A1], fa2: F[A2], fa3: F[A3]): F[Z]
- Definition Classes
- Decidable
-
final
def
choosing4[Z, A1, A2, A3, A4](f: (Z) ⇒ \/[A1, \/[A2, \/[A3, A4]]])(implicit fa1: F[A1], fa2: F[A2], fa3: F[A3], fa4: F[A4]): F[Z]
- Definition Classes
- Decidable
-
def
clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws( ... ) @native()
-
def
compose[G[_]](implicit G0: Contravariant[G]): Functor[[α]F[G[α]]]
The composition of Contravariant F and G,
[x]F[G[x]], is covariant.The composition of Contravariant F and G,
[x]F[G[x]], is covariant.- Definition Classes
- Contravariant
-
def
conquer[A]: F[A]
Universally quantified instance of F[_]
Universally quantified instance of F[_]
- Definition Classes
- IsomorphismDivisible → Divisible
-
def
contramap[A, B](r: F[A])(f: (B) ⇒ A): F[B]
Transform
A.Transform
A.- Definition Classes
- IsomorphismContravariant → Contravariant
- Note
contramap(r)(identity)=r
-
def
contravariantLaw: ContravariantLaw
- Definition Classes
- Contravariant
-
val
contravariantSyntax: ContravariantSyntax[F]
- Definition Classes
- Contravariant
-
def
decidableLaw: DecidableLaw
- Definition Classes
- Decidable
-
val
decidableSyntax: DecidableSyntax[F]
- Definition Classes
- Decidable
-
final
def
divide[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (C) ⇒ (A, B)): F[C]
- Definition Classes
- Divide
-
final
def
divide1[A1, Z](a1: F[A1])(f: (Z) ⇒ A1): F[Z]
- Definition Classes
- Divide
-
def
divide2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (C) ⇒ (A, B)): F[C]
- Definition Classes
- IsomorphismDivide → Divide
-
def
divide3[A1, A2, A3, Z](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3])(f: (Z) ⇒ (A1, A2, A3)): F[Z]
- Definition Classes
- Divide
-
def
divide4[A1, A2, A3, A4, Z](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3], a4: ⇒ F[A4])(f: (Z) ⇒ (A1, A2, A3, A4)): F[Z]
- Definition Classes
- Divide
-
def
divideLaw: DivideLaw
- Definition Classes
- Divide
-
val
divideSyntax: DivideSyntax[F]
- Definition Classes
- Divide
-
final
def
dividing1[A1, Z](f: (Z) ⇒ A1)(implicit a1: F[A1]): F[Z]
- Definition Classes
- Divide
-
final
def
dividing2[A1, A2, Z](f: (Z) ⇒ (A1, A2))(implicit a1: F[A1], a2: F[A2]): F[Z]
- Definition Classes
- Divide
-
final
def
dividing3[A1, A2, A3, Z](f: (Z) ⇒ (A1, A2, A3))(implicit a1: F[A1], a2: F[A2], a3: F[A3]): F[Z]
- Definition Classes
- Divide
-
final
def
dividing4[A1, A2, A3, A4, Z](f: (Z) ⇒ (A1, A2, A3, A4))(implicit a1: F[A1], a2: F[A2], a3: F[A3], a4: F[A4]): F[Z]
- Definition Classes
- Divide
-
def
divisibleLaw: DivisibleLaw
- Definition Classes
- Divisible
-
val
divisibleSyntax: DivisibleSyntax[F]
- Definition Classes
- Divisible
-
final
def
eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
-
def
equals(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
-
def
finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws( classOf[java.lang.Throwable] )
-
final
def
getClass(): Class[_]
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
-
def
hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native()
-
def
icompose[G[_]](implicit G0: Functor[G]): Contravariant[[α]F[G[α]]]
The composition of Contravariant F and Functor G,
[x]F[G[x]], is contravariant.The composition of Contravariant F and Functor G,
[x]F[G[x]], is contravariant.- Definition Classes
- Contravariant
-
val
invariantAltSyntax: InvariantAltSyntax[F]
- Definition Classes
- InvariantAlt
-
val
invariantApplicativeSyntax: InvariantApplicativeSyntax[F]
- Definition Classes
- InvariantApplicative
-
def
invariantFunctorLaw: InvariantFunctorLaw
- Definition Classes
- InvariantFunctor
-
val
invariantFunctorSyntax: InvariantFunctorSyntax[F]
- Definition Classes
- InvariantFunctor
-
final
def
isInstanceOf[T0]: Boolean
- Definition Classes
- Any
-
def
narrow[A, B](fa: F[A])(implicit ev: <~<[B, A]): F[B]
- Definition Classes
- Contravariant
-
final
def
ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
-
final
def
notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native()
-
final
def
notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native()
-
def
product[G[_]](implicit G0: Contravariant[G]): Contravariant[[α](F[α], G[α])]
The product of Contravariant
FandG,[x](F[x], G[x]]), is contravariant.The product of Contravariant
FandG,[x](F[x], G[x]]), is contravariant.- Definition Classes
- Contravariant
-
final
def
synchronized[T0](arg0: ⇒ T0): T0
- Definition Classes
- AnyRef
-
def
toString(): String
- Definition Classes
- AnyRef → Any
-
def
tuple2[A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2]): F[(A1, A2)]
- Definition Classes
- Divide
-
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( ... ) @native()
-
final
def
xcoderiving1[Z, A1](f: (A1) ⇒ Z, g: (Z) ⇒ A1)(implicit a1: F[A1]): F[Z]
- Definition Classes
- InvariantAlt
-
final
def
xcoderiving2[Z, A1, A2](f: (\/[A1, A2]) ⇒ Z, g: (Z) ⇒ \/[A1, A2])(implicit a1: F[A1], a2: F[A2]): F[Z]
- Definition Classes
- InvariantAlt
-
final
def
xcoderiving3[Z, A1, A2, A3](f: (\/[A1, \/[A2, A3]]) ⇒ Z, g: (Z) ⇒ \/[A1, \/[A2, A3]])(implicit a1: F[A1], a2: F[A2], a3: F[A3]): F[Z]
- Definition Classes
- InvariantAlt
-
final
def
xcoderiving4[Z, A1, A2, A3, A4](f: (\/[A1, \/[A2, \/[A3, A4]]]) ⇒ Z, g: (Z) ⇒ \/[A1, \/[A2, \/[A3, A4]]])(implicit a1: F[A1], a2: F[A2], a3: F[A3], a4: F[A4]): F[Z]
- Definition Classes
- InvariantAlt
-
def
xcoproduct1[Z, A1](a1: ⇒ F[A1])(f: (A1) ⇒ Z, g: (Z) ⇒ A1): F[Z]
- Definition Classes
- IsomorphismDecidable → Decidable → InvariantAlt
-
def
xcoproduct2[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (\/[A1, A2]) ⇒ Z, g: (Z) ⇒ \/[A1, A2]): F[Z]
- Definition Classes
- IsomorphismDecidable → IsomorphismInvariantAlt → Decidable → InvariantAlt
-
def
xcoproduct3[Z, A1, A2, A3](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3])(f: (\/[A1, \/[A2, A3]]) ⇒ Z, g: (Z) ⇒ \/[A1, \/[A2, A3]]): F[Z]
- Definition Classes
- IsomorphismDecidable → Decidable → InvariantAlt
-
def
xcoproduct4[Z, A1, A2, A3, A4](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3], a4: ⇒ F[A4])(f: (\/[A1, \/[A2, \/[A3, A4]]]) ⇒ Z, g: (Z) ⇒ \/[A1, \/[A2, \/[A3, A4]]]): F[Z]
- Definition Classes
- IsomorphismDecidable → Decidable → InvariantAlt
-
final
def
xderiving0[Z](z: ⇒ Z): F[Z]
- Definition Classes
- InvariantApplicative
-
final
def
xderiving1[Z, A1](f: (A1) ⇒ Z, g: (Z) ⇒ A1)(implicit a1: F[A1]): F[Z]
- Definition Classes
- InvariantApplicative
-
final
def
xderiving2[Z, A1, A2](f: (A1, A2) ⇒ Z, g: (Z) ⇒ (A1, A2))(implicit a1: F[A1], a2: F[A2]): F[Z]
- Definition Classes
- InvariantApplicative
-
final
def
xderiving3[Z, A1, A2, A3](f: (A1, A2, A3) ⇒ Z, g: (Z) ⇒ (A1, A2, A3))(implicit a1: F[A1], a2: F[A2], a3: F[A3]): F[Z]
- Definition Classes
- InvariantApplicative
-
final
def
xderiving4[Z, A1, A2, A3, A4](f: (A1, A2, A3, A4) ⇒ Z, g: (Z) ⇒ (A1, A2, A3, A4))(implicit a1: F[A1], a2: F[A2], a3: F[A3], a4: F[A4]): F[Z]
- Definition Classes
- InvariantApplicative
-
def
xmap[A, B](ma: F[A], f: (A) ⇒ B, g: (B) ⇒ A): F[B]
Converts
mato a value of typeF[B]using the provided functionsfandg.Converts
mato a value of typeF[B]using the provided functionsfandg.- Definition Classes
- IsomorphismInvariantFunctor → InvariantFunctor
-
def
xmapb[A, B](ma: F[A])(b: Bijection[A, B]): F[B]
Converts
mato a value of typeF[B]using the provided bijection.Converts
mato a value of typeF[B]using the provided bijection.- Definition Classes
- InvariantFunctor
-
def
xmapi[A, B](ma: F[A])(iso: Isomorphism.<=>[A, B]): F[B]
Converts
mato a value of typeF[B]using the provided isomorphism.Converts
mato a value of typeF[B]using the provided isomorphism.- Definition Classes
- InvariantFunctor
-
def
xproduct0[Z](z: ⇒ Z): F[Z]
- Definition Classes
- IsomorphismDivisible → IsomorphismInvariantApplicative → Divisible → InvariantApplicative
-
def
xproduct1[Z, A1](a1: ⇒ F[A1])(f: (A1) ⇒ Z, g: (Z) ⇒ A1): F[Z]
- Definition Classes
- IsomorphismDivisible → Divisible → InvariantApplicative
-
def
xproduct2[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (A1, A2) ⇒ Z, g: (Z) ⇒ (A1, A2)): F[Z]
- Definition Classes
- IsomorphismDivisible → IsomorphismInvariantApplicative → Divisible → InvariantApplicative
-
def
xproduct3[Z, A1, A2, A3](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3])(f: (A1, A2, A3) ⇒ Z, g: (Z) ⇒ (A1, A2, A3)): F[Z]
- Definition Classes
- IsomorphismDivisible → Divisible → InvariantApplicative
-
def
xproduct4[Z, A1, A2, A3, A4](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3], a4: ⇒ F[A4])(f: (A1, A2, A3, A4) ⇒ Z, g: (Z) ⇒ (A1, A2, A3, A4)): F[Z]
- Definition Classes
- IsomorphismDivisible → Divisible → InvariantApplicative