zio.prelude.laws.CommutativeBothLaws.scala Maven / Gradle / Ivy
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/*
* Copyright 2021-2023 John A. De Goes and the ZIO Contributors
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package zio.prelude.laws
import zio.prelude._
import zio.prelude.coherent.CommutativeBothDeriveEqualInvariant
import zio.test.TestResult
import zio.test.laws._
object CommutativeBothLaws extends LawfulF.Invariant[CommutativeBothDeriveEqualInvariant, Equal] {
/**
* For all `fa` and `fb`, `both(fa, fb)` is equivalent to `both(fb, fa)`.
*/
lazy val commutativeLaw: LawsF.Invariant[CommutativeBothDeriveEqualInvariant, Equal] =
new LawsF.Invariant.Law2[CommutativeBothDeriveEqualInvariant, Equal]("commutativeLaw") {
def apply[F[_]: CommutativeBothDeriveEqualInvariant, A: Equal, B: Equal](fa: F[A], fb: F[B]): TestResult = {
val left = fa.zipPar(fb)
val right = fb.zipPar(fa)
val left2 = Invariant[F].invmap(Equivalence.tupleFlip[A, B]).to(left)
left2 <-> right
}
}
/**
* The set of law laws that instances of `CommutativeBoth` must satisfy.
*/
lazy val laws: LawsF.Invariant[CommutativeBothDeriveEqualInvariant, Equal] =
commutativeLaw + AssociativeBothLaws.laws
}
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