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* Add algebra interop module * Add algebra instances for Rational * Headers * Add cats CommutativeGroup instance for Rational * Order for Rational * Setup algebra for testing * Create a testkit * Add Cogen[Rational] * Test laws for Rational instances * Fix unlawful pow * Make Rational#hashCode lawful * Add arbs for (Delta)Quantity * Add Cats instances for Rational, test laws
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42 changes: 42 additions & 0 deletions
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core/src/main/scala/coulomb/ops/algebra/cats/rational.scala
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| /* | ||
| * Copyright 2022 Erik Erlandson | ||
| * | ||
| * 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. | ||
| */ | ||
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| package coulomb.ops.algebra.cats | ||
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| import algebra.ring.* | ||
| import cats.kernel.* | ||
| import coulomb.ops.standard.* | ||
| import coulomb.rational.* | ||
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| object rational: | ||
| given Field[Rational] with | ||
| def zero = Rational.const0 | ||
| def one = Rational.const1 | ||
| def plus(x: Rational, y: Rational) = x + y | ||
| override def minus(x: Rational, y: Rational) = x - y | ||
| def times(x: Rational, y: Rational) = x * y | ||
| def div(x: Rational, y: Rational) = x / y | ||
| def negate(x: Rational) = -x | ||
| override def pow(x: Rational, n: Int) = x.pow(n) | ||
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| given CommutativeGroup[Rational] = summon[Field[Rational]].additive | ||
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| given Order[Rational] with Hash[Rational] with | ||
| def hash(x: Rational) = x.hashCode | ||
| def compare(x: Rational, y: Rational) = | ||
| if x == y then 0 | ||
| else if x > y then 1 | ||
| else -1 |
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| /* | ||
| * Copyright 2022 Erik Erlandson | ||
| * | ||
| * 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. | ||
| */ | ||
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| package coulomb | ||
| package testkit | ||
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| import coulomb.rational.* | ||
| import coulomb.syntax.* | ||
| import org.scalacheck.* | ||
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| given Arbitrary[Rational] = Arbitrary( | ||
| for | ||
| n <- Arbitrary.arbitrary[BigInt] | ||
| d <- Arbitrary.arbitrary[BigInt].suchThat(_ != 0) | ||
| yield Rational(n, d) | ||
| ) | ||
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| given Cogen[Rational] = summon[Cogen[(BigInt, BigInt)]].contramap(r => (r.n, r.d)) | ||
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| given [V, U](using arbV: Arbitrary[V]): Arbitrary[Quantity[V, U]] = | ||
| Arbitrary(arbV.arbitrary.map(_.withUnit[U])) | ||
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| given [V, U, B](using arbV: Arbitrary[V]): Arbitrary[DeltaQuantity[V, U, B]] = | ||
| Arbitrary(arbV.arbitrary.map(_.withDeltaUnit[U, B])) | ||
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| given [V, U](using cogenV: Cogen[V]): Cogen[Quantity[V, U]] = cogenV.contramap(_.value) | ||
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| given [V, U, B](using cogenV: Cogen[V]): Cogen[DeltaQuantity[V, U, B]] = cogenV.contramap(_.value) |
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testkit/src/test/scala/coulomb/testkit/RationalSuite.scala
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| /* | ||
| * Copyright 2022 Erik Erlandson | ||
| * | ||
| * 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. | ||
| */ | ||
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| package coulomb.testkit | ||
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| import algebra.laws.* | ||
| import cats.kernel.laws.discipline.* | ||
| import coulomb.ops.algebra.cats.all.given | ||
| import coulomb.rational.* | ||
| import munit.DisciplineSuite | ||
| import org.scalacheck.Prop.* | ||
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| class RationalSuite extends DisciplineSuite: | ||
| property("rational identity") { | ||
| forAll { (r: Rational) => | ||
| r == Rational.const0 || (Rational.const1 / r) * r == Rational.const1 | ||
| } | ||
| } | ||
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| property("functions of rationals are pure") { | ||
| forAll { (x: Rational, y: Rational, f: Rational => Rational) => | ||
| x != y || f(x) == f(y) | ||
| } | ||
| } | ||
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| checkAll("Rational", RingLaws[Rational].field) | ||
| checkAll("Rational", OrderTests[Rational].order) | ||
| checkAll("Rational", HashTests[Rational].hash) |