ch12 addition finally

Chapter12.scala

package fp_tdd

import cats.Apply
import cats.syntax.apply._
import org.scalacheck.Prop.forAll
import org.scalacheck.{Arbitrary, Gen, Properties}

object Chapter12 extends Properties("Ch12") {
  // ======== TODO ========
  // $5 + 10 CHF = $10 if rate is 2:1
  // $5 + $5 = $10
  // ======== DONE ========

// product code -------------------------------------------------------------------
  trait Expression
  class Money(protected val amount: Int, val currency: String) extends Expression {
    def *(multiplier: Int): Money      = copy(amount * multiplier)
    def +(addend: Money):   Expression = copy(amount + addend.amount)
    private def copy(amount: Int) = Money(amount, currency)
    override def equals(a: Any): Boolean = {
      val another = a.asInstanceOf[Money]
      another.amount   == amount &&
      another.currency == currency
    }
  }
  object Money {
    def apply(amount: Int, currency: String) = new Money(amount, currency)
    def dollar(amount: Int): Money = Money(amount, "USD")
    def franc(amount: Int):  Money = Money(amount, "CHF")
  }
  class Bank {
    def reduce(exp: Expression, to: String): Money = Money.dollar(10)
  }

// test code --------------------------------------------------------------------
  import Money.{dollar, franc}

  implicit val intGen: Gen[Int] = Gen.chooseNum(-1000000, 1000000)
  implicit val consGen: Gen[Int => Money] = Gen.oneOf(dollar(_:Int): Money, franc(_:Int): Money)

  val currencyGen: Gen[String] = Gen.oneOf("USD", "CHF")
  def double[G[_]: Apply, A](ga: G[A]): G[(A, A)]    = (ga, ga).mapN((_, _))
  def triple[G[_]: Apply, A](ga: G[A]): G[(A, A, A)] = (ga, ga, ga).mapN((_, _, _))
  implicit val genApply: Apply[Gen] = new Apply[Gen] {
    override def ap[A, B](gf: Gen[A => B])(ga: Gen[A]): Gen[B] = gf flatMap ga.map
    override def map[A, B](ga: Gen[A])(f: A => B): Gen[B]      = ga map f
  }

  implicit val moneyGen:     Gen[Money]        = (consGen, intGen).mapN(_(_))
  implicit val moneyConsGen: Gen[Int => Money] = currencyGen map constructor

  implicit val arbCons: Arbitrary[Int => Money] = Arbitrary(moneyConsGen)
  implicit val arbMoney: Arbitrary[Money]       = Arbitrary(moneyGen)

  def constructor(currency: String)(n: Int): Money = currency match {
    case "USD" => dollar(n)
    case "CHF" => franc(n)
  }
  def mapPair[A, B](a1: A, a2: A)(f: A => B): (B, B) = (f(a1), f(a2))
  val unique2: Gen[(Money, Money)] =
    double(moneyGen).suchThat { case (a, b) => a != b }
  val unique3: Gen[(Money, Money, Money)] =
    triple(moneyGen).suchThat { case (a, b, c) => a != b && b != c && c != a }

// properties -------------------------------------------------------------------
  property("m(0) * x = m(0)") = forAll { (x: Int, m: Int => Money) =>
    m(0) * x == m(0)
  }
  property("m(1) * x = m(x)") = forAll { (x: Int, m: Int => Money) =>
    m(1) * x == m(x)
  }
  property("m(a) * b = m(b) * a") = forAll { (a: Int, b: Int, m: Int => Money) =>
    m(a) * b == m(b) * a
  }
  property("(m(a) * b) * c = m(a) * (b * c)") = forAll { (a: Int, b: Int, c: Int, m: Int => Money) =>
    (m(a) * b) * c == m(a) * (b * c)
  }

  property("m(a) == m(b) <=> a == b") = forAll(double(intGen), moneyConsGen) { case ((a, b), m) =>
    (m(a) == m(b)) == (a == b)
  }
  property("m(a) == m(b) <=> m(a) equals m(b)") = forAll(double(moneyGen)) { case (a: Money, b: Money) =>
    (a equals b) == (a == b)
  }
  property("equals is reflexive") = forAll { (a: Money) =>
    a equals a
  }
  property("equals is symmetric") = forAll(double(intGen)) { case (a, b) =>
    (a equals b) == (b equals a)
  }
  property("equals is transitive") = forAll( for {
    oneOf3 <- unique3.map { case (a, b, c)=> Gen.oneOf(a, b, c) }
    x      <- oneOf3
    y      <- oneOf3.suchThat(_ equals x)
    z      <- oneOf3.retryUntil(_ equals y)
  } yield (x, z)) { case ((x, z)) => x equals z }

  property("(m1==m2) == (m1.currency==m2.currency)") =
    forAll(double(currencyGen), intGen) { case ((c1, c2), n) =>
      val (m1, m2) = mapPair(c1, c2)(constructor(_)(n))
      (m1 == m2) == (m1.currency == m2.currency)
    }
  property("money(a + b) == money(a) + money(b)") =
    forAll(intGen, intGen, moneyConsGen) { (a, b, money) =>
       Money.dollar(10) == new Bank().reduce(money(a) + money(b), "USD")
    }
}