Trait

scalaz

IsomorphismDecidable

Related Doc: package scalaz

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trait IsomorphismDecidable[F[_], G[_]] extends Decidable[F] with IsomorphismDivisible[F, G] with IsomorphismInvariantAlt[F, G]

Source
Decidable.scala
Linear Supertypes
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Inherited
  1. IsomorphismDecidable
  2. IsomorphismInvariantAlt
  3. IsomorphismDivisible
  4. IsomorphismInvariantApplicative
  5. IsomorphismDivide
  6. IsomorphismContravariant
  7. IsomorphismInvariantFunctor
  8. Decidable
  9. InvariantAlt
  10. Divisible
  11. InvariantApplicative
  12. Divide
  13. Contravariant
  14. InvariantFunctor
  15. AnyRef
  16. Any
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Visibility
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Type Members

  1. trait ContravariantLaw extends InvariantFunctorLaw

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    Definition Classes
    Contravariant
  2. trait DecidableLaw extends DivisibleLaw

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    Definition Classes
    Decidable
  3. trait DivideLaw extends ContravariantLaw

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    Definition Classes
    Divide
  4. trait DivisibleLaw extends DivideLaw

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    Definition Classes
    Divisible
  5. trait InvariantFunctorLaw extends AnyRef

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    Definition Classes
    InvariantFunctor

Concrete Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  4. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  5. final def choose[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (Z) ⇒ \/[A1, A2]): F[Z]

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    Definition Classes
    Decidable
  6. def choose1[Z, A1](a1: ⇒ F[A1])(f: (Z) ⇒ A1): F[Z]

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    Definition Classes
    Decidable
  7. def choose2[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (Z) ⇒ \/[A1, A2]): F[Z]

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    Definition Classes
    IsomorphismDecidableDecidable
  8. def choose3[Z, A1, A2, A3](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3])(f: (Z) ⇒ \/[A1, \/[A2, A3]]): F[Z]

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    Definition Classes
    Decidable
  9. 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]

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    Definition Classes
    Decidable
  10. final def choosing2[Z, A1, A2](f: (Z) ⇒ \/[A1, A2])(implicit fa1: F[A1], fa2: F[A2]): F[Z]

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    Definition Classes
    Decidable
  11. final def choosing3[Z, A1, A2, A3](f: (Z) ⇒ \/[A1, \/[A2, A3]])(implicit fa1: F[A1], fa2: F[A2], fa3: F[A3]): F[Z]

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    Definition Classes
    Decidable
  12. 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]

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    Definition Classes
    Decidable
  13. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  14. def compose[G[_]](implicit G0: Contravariant[G]): Functor[[α]F[G[α]]]

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    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
  15. def conquer[A]: F[A]

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    Universally quantified instance of F[_]

    Universally quantified instance of F[_]

    Definition Classes
    IsomorphismDivisibleDivisible
  16. def contramap[A, B](r: F[A])(f: (B) ⇒ A): F[B]

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    Transform A.

    Transform A.

    Definition Classes
    IsomorphismContravariantContravariant
    Note

    contramap(r)(identity) = r

  17. def contravariantLaw: ContravariantLaw

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    Definition Classes
    Contravariant
  18. val contravariantSyntax: ContravariantSyntax[F]

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    Definition Classes
    Contravariant
  19. def decidableLaw: DecidableLaw

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    Definition Classes
    Decidable
  20. val decidableSyntax: DecidableSyntax[F]

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    Definition Classes
    Decidable
  21. final def divide[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (C) ⇒ (A, B)): F[C]

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    Definition Classes
    Divide
  22. final def divide1[A1, Z](a1: F[A1])(f: (Z) ⇒ A1): F[Z]

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    Definition Classes
    Divide
  23. def divide2[A, B, C](fa: ⇒ F[A], fb: ⇒ F[B])(f: (C) ⇒ (A, B)): F[C]

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    Definition Classes
    IsomorphismDivideDivide
  24. def divide3[A1, A2, A3, Z](a1: ⇒ F[A1], a2: ⇒ F[A2], a3: ⇒ F[A3])(f: (Z) ⇒ (A1, A2, A3)): F[Z]

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    Definition Classes
    Divide
  25. 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]

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    Definition Classes
    Divide
  26. def divideLaw: DivideLaw

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    Definition Classes
    Divide
  27. val divideSyntax: DivideSyntax[F]

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    Definition Classes
    Divide
  28. final def dividing1[A1, Z](f: (Z) ⇒ A1)(implicit a1: F[A1]): F[Z]

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    Definition Classes
    Divide
  29. final def dividing2[A1, A2, Z](f: (Z) ⇒ (A1, A2))(implicit a1: F[A1], a2: F[A2]): F[Z]

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    Definition Classes
    Divide
  30. final def dividing3[A1, A2, A3, Z](f: (Z) ⇒ (A1, A2, A3))(implicit a1: F[A1], a2: F[A2], a3: F[A3]): F[Z]

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    Definition Classes
    Divide
  31. 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]

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    Definition Classes
    Divide
  32. def divisibleLaw: DivisibleLaw

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    Definition Classes
    Divisible
  33. val divisibleSyntax: DivisibleSyntax[F]

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    Definition Classes
    Divisible
  34. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  35. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  36. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  37. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  38. def hashCode(): Int

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    Definition Classes
    AnyRef → Any
  39. def icompose[G[_]](implicit G0: Functor[G]): Contravariant[[α]F[G[α]]]

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    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
  40. val invariantAltSyntax: InvariantAltSyntax[F]

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    Definition Classes
    InvariantAlt
  41. val invariantApplicativeSyntax: InvariantApplicativeSyntax[F]

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    Definition Classes
    InvariantApplicative
  42. def invariantFunctorLaw: InvariantFunctorLaw

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    Definition Classes
    InvariantFunctor
  43. val invariantFunctorSyntax: InvariantFunctorSyntax[F]

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    Definition Classes
    InvariantFunctor
  44. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  45. def narrow[A, B](fa: F[A])(implicit ev: <~<[B, A]): F[B]

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    Definition Classes
    Contravariant
  46. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  47. final def notify(): Unit

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    Definition Classes
    AnyRef
  48. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  49. def product[G[_]](implicit G0: Contravariant[G]): Contravariant[[α](F[α], G[α])]

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    The product of Contravariant F and G, [x](F[x], G[x]]), is contravariant.

    The product of Contravariant F and G, [x](F[x], G[x]]), is contravariant.

    Definition Classes
    Contravariant
  50. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  51. def toString(): String

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    Definition Classes
    AnyRef → Any
  52. def tuple2[A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2]): F[(A1, A2)]

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    Definition Classes
    Divide
  53. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  54. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  55. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  56. final def xcoderiving1[Z, A1](f: (A1) ⇒ Z, g: (Z) ⇒ A1)(implicit a1: F[A1]): F[Z]

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    Definition Classes
    InvariantAlt
  57. final def xcoderiving2[Z, A1, A2](f: (\/[A1, A2]) ⇒ Z, g: (Z) ⇒ \/[A1, A2])(implicit a1: F[A1], a2: F[A2]): F[Z]

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    Definition Classes
    InvariantAlt
  58. 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]

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    Definition Classes
    InvariantAlt
  59. 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]

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    Definition Classes
    InvariantAlt
  60. def xcoproduct1[Z, A1](a1: ⇒ F[A1])(f: (A1) ⇒ Z, g: (Z) ⇒ A1): F[Z]

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    Definition Classes
    IsomorphismDecidableDecidableInvariantAlt
  61. def xcoproduct2[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (\/[A1, A2]) ⇒ Z, g: (Z) ⇒ \/[A1, A2]): F[Z]

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  62. 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]

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    Definition Classes
    IsomorphismDecidableDecidableInvariantAlt
  63. 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]

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    Definition Classes
    IsomorphismDecidableDecidableInvariantAlt
  64. final def xderiving0[Z](z: ⇒ Z): F[Z]

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    Definition Classes
    InvariantApplicative
  65. final def xderiving1[Z, A1](f: (A1) ⇒ Z, g: (Z) ⇒ A1)(implicit a1: F[A1]): F[Z]

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    Definition Classes
    InvariantApplicative
  66. final def xderiving2[Z, A1, A2](f: (A1, A2) ⇒ Z, g: (Z) ⇒ (A1, A2))(implicit a1: F[A1], a2: F[A2]): F[Z]

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    Definition Classes
    InvariantApplicative
  67. 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]

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    Definition Classes
    InvariantApplicative
  68. 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]

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    Definition Classes
    InvariantApplicative
  69. def xmap[A, B](ma: F[A], f: (A) ⇒ B, g: (B) ⇒ A): F[B]

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    Converts ma to a value of type F[B] using the provided functions f and g.

    Converts ma to a value of type F[B] using the provided functions f and g.

    Definition Classes
    IsomorphismInvariantFunctorInvariantFunctor
  70. def xmapb[A, B](ma: F[A])(b: Bijection[A, B]): F[B]

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    Converts ma to a value of type F[B] using the provided bijection.

    Converts ma to a value of type F[B] using the provided bijection.

    Definition Classes
    InvariantFunctor
  71. def xmapi[A, B](ma: F[A])(iso: Isomorphism.<=>[A, B]): F[B]

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    Converts ma to a value of type F[B] using the provided isomorphism.

    Converts ma to a value of type F[B] using the provided isomorphism.

    Definition Classes
    InvariantFunctor
  72. def xproduct0[Z](z: ⇒ Z): F[Z]

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  73. def xproduct1[Z, A1](a1: ⇒ F[A1])(f: (A1) ⇒ Z, g: (Z) ⇒ A1): F[Z]

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  74. def xproduct2[Z, A1, A2](a1: ⇒ F[A1], a2: ⇒ F[A2])(f: (A1, A2) ⇒ Z, g: (Z) ⇒ (A1, A2)): F[Z]

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  75. 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]

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  76. 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]

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Inherited from IsomorphismInvariantAlt[F, G]

Inherited from IsomorphismDivisible[F, G]

Inherited from IsomorphismInvariantApplicative[F, G]

Inherited from IsomorphismDivide[F, G]

Inherited from IsomorphismContravariant[F, G]

Inherited from IsomorphismInvariantFunctor[F, G]

Inherited from Decidable[F]

Inherited from InvariantAlt[F]

Inherited from Divisible[F]

Inherited from InvariantApplicative[F]

Inherited from Divide[F]

Inherited from Contravariant[F]

Inherited from InvariantFunctor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped