trait IsomorphismDivisible[F[_], G[_]] extends Divisible[F] with IsomorphismDivide[F, G] with IsomorphismInvariantApplicative[F, G]
Ordering
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Inherited
- IsomorphismDivisible
- IsomorphismInvariantApplicative
- IsomorphismDivide
- IsomorphismContravariant
- IsomorphismInvariantFunctor
- Divisible
- InvariantApplicative
- Divide
- Contravariant
- InvariantFunctor
- AnyRef
- Any
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Visibility
- Public
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Type Members
-
trait
ContravariantLaw extends InvariantFunctorLaw
- Definition Classes
- Contravariant
-
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: Divisible[G]
- Definition Classes
- IsomorphismDivisible → IsomorphismInvariantApplicative → IsomorphismDivide → IsomorphismContravariant → IsomorphismInvariantFunctor
-
abstract
def
iso: Isomorphism.<~>[F, G]
- Definition Classes
- IsomorphismContravariant → 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
-
def
clone(): AnyRef
- Attributes
- protected[java.lang]
- Definition Classes
- AnyRef
- Annotations
- @native() @throws( ... )
-
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
-
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[java.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
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
-
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
- @native() @throws( ... )
-
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