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Original file line number | Diff line number | Diff line change |
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package cats | ||
package instances | ||
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trait EqInstances { | ||
implicit val catsContravariantCartesianEq: ContravariantCartesian[Eq] = new ContravariantCartesian[Eq] { | ||
def contramap[A, B](fa: Eq[A])(fn: B => A): Eq[B] = fa.on(fn) | ||
def product[A, B](fa: Eq[A], fb: Eq[B]): Eq[(A, B)] = | ||
Eq.instance { (left, right) => fa.eqv(left._1, right._1) && fb.eqv(left._2, right._2) } | ||
} | ||
} |
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package cats | ||
package instances | ||
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trait MonoidInstances { | ||
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implicit val catsInvariantMonoidalMonoid: InvariantMonoidal[Monoid] = new InvariantMonoidal[Monoid] { | ||
def product[A, B](fa: Monoid[A], fb: Monoid[B]): Monoid[(A, B)] = new Monoid[(A, B)] { | ||
val empty = fa.empty -> fb.empty | ||
def combine(x: (A, B), y: (A, B)): (A, B) = fa.combine(x._1, y._1) -> fb.combine(x._2, y._2) | ||
} | ||
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def imap[A, B](fa: Monoid[A])(f: A => B)(g: B => A): Monoid[B] = new Monoid[B] { | ||
val empty = f(fa.empty) | ||
def combine(x: B, y: B): B = f(fa.combine(g(x), g(y))) | ||
override def combineAll(bs: TraversableOnce[B]): B = | ||
f(fa.combineAll(bs.map(g))) | ||
} | ||
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def pure[A](a: A): Monoid[A] = new Monoid[A] { | ||
val empty = a | ||
def combine(x: A, y: A): A = a | ||
override def combineAll(as: TraversableOnce[A]): A = a | ||
} | ||
} | ||
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} |
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package cats | ||
package instances | ||
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import cats.functor.Contravariant | ||
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trait OrderInstances { | ||
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implicit val catsFunctorContravariantForOrder: Contravariant[Order] = | ||
new Contravariant[Order] { | ||
/** Derive an `Order` for `B` given an `Order[A]` and a function `B => A`. | ||
* | ||
* Note: resulting instances are law-abiding only when the functions used are injective (represent a one-to-one mapping) | ||
*/ | ||
def contramap[A, B](fa: Order[A])(f: B => A): Order[B] = fa.on(f) | ||
} | ||
} |
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package cats | ||
package instances | ||
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import cats.functor.Contravariant | ||
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trait PartialOrderInstances { | ||
implicit val catsFunctorContravariantForPartialOrder: Contravariant[PartialOrder] = | ||
new Contravariant[PartialOrder] { | ||
/** Derive a `PartialOrder` for `B` given a `PartialOrder[A]` and a function `B => A`. | ||
* | ||
* Note: resulting instances are law-abiding only when the functions used are injective (represent a one-to-one mapping) | ||
*/ | ||
def contramap[A, B](fa: PartialOrder[A])(f: B => A): PartialOrder[B] = fa.on(f) | ||
} | ||
} |
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package cats | ||
package instances | ||
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trait SemigroupInstances { | ||
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implicit val catsInvariantMonoidalSemigroup: InvariantMonoidal[Semigroup] = new InvariantMonoidal[Semigroup] { | ||
def product[A, B](fa: Semigroup[A], fb: Semigroup[B]): Semigroup[(A, B)] = new Semigroup[(A, B)] { | ||
def combine(x: (A, B), y: (A, B)): (A, B) = fa.combine(x._1, y._1) -> fb.combine(x._2, y._2) | ||
} | ||
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def imap[A, B](fa: Semigroup[A])(f: A => B)(g: B => A): Semigroup[B] = new Semigroup[B] { | ||
def combine(x: B, y: B): B = f(fa.combine(g(x), g(y))) | ||
override def combineAllOption(bs: TraversableOnce[B]): Option[B] = | ||
fa.combineAllOption(bs.map(g)).map(f) | ||
} | ||
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def pure[A](a: A): Semigroup[A] = new Semigroup[A] { | ||
def combine(x: A, y: A): A = a | ||
override def combineAllOption(as: TraversableOnce[A]): Option[A] = | ||
if (as.isEmpty) None else Some(a) | ||
} | ||
} | ||
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} |
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