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Category.scala
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Category.scala
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/*
* Copyright (c) 2015 Typelevel
*
* Permission is hereby granted, free of charge, to any person obtaining a copy of
* this software and associated documentation files (the "Software"), to deal in
* the Software without restriction, including without limitation the rights to
* use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
* the Software, and to permit persons to whom the Software is furnished to do so,
* subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS
* FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR
* COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER
* IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/
package cats
package arrow
/**
* Must obey the laws defined in cats.laws.CategoryLaws.
*/
trait Category[F[_, _]] extends Compose[F] { self =>
def id[A]: F[A, A]
override def algebraK: MonoidK[λ[α => F[α, α]]] =
new MonoidK[λ[α => F[α, α]]] {
def empty[A]: F[A, A] = id
def combineK[A](f1: F[A, A], f2: F[A, A]): F[A, A] = self.compose(f1, f2)
}
override def algebra[A]: Monoid[F[A, A]] =
new Monoid[F[A, A]] {
def empty: F[A, A] = id
def combine(f1: F[A, A], f2: F[A, A]): F[A, A] = self.compose(f1, f2)
}
}
object Category {
/**
* Summon an instance of [[Category]] for `F`.
*/
@inline def apply[F[_, _]](implicit instance: Category[F]): Category[F] = instance
@deprecated("Use cats.syntax object imports", "2.2.0")
object ops {
implicit def toAllCategoryOps[F[_, _], A, B](target: F[A, B])(implicit tc: Category[F]): AllOps[F, A, B] {
type TypeClassType = Category[F]
} =
new AllOps[F, A, B] {
type TypeClassType = Category[F]
val self: F[A, B] = target
val typeClassInstance: TypeClassType = tc
}
}
trait Ops[F[_, _], A, B] extends Serializable {
type TypeClassType <: Category[F]
def self: F[A, B]
val typeClassInstance: TypeClassType
}
trait AllOps[F[_, _], A, B] extends Ops[F, A, B] with Compose.AllOps[F, A, B] {
type TypeClassType <: Category[F]
}
trait ToCategoryOps extends Serializable {
implicit def toCategoryOps[F[_, _], A, B](target: F[A, B])(implicit tc: Category[F]): Ops[F, A, B] {
type TypeClassType = Category[F]
} =
new Ops[F, A, B] {
type TypeClassType = Category[F]
val self: F[A, B] = target
val typeClassInstance: TypeClassType = tc
}
}
@deprecated("Use cats.syntax object imports", "2.2.0")
object nonInheritedOps extends ToCategoryOps
}