ch15 mixed concurrencies - ch16 abstraction finally

Chapter16.scala

package fp_tdd

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

object Chapter16 extends Properties("ch16") {
  // ======== TODO ========
  // ======== DONE ========
  // Bank.reduce(Money)
  // $5 + $5 = $10
  // Reduce(Bank, String)
  // Reduce Money with conversion
  // $5 + 10 CHF = $10 if rate is 2:1
  // Sum.plus
  // Expression.times
  // Return Money from $5 + $5

// product code -------------------------------------------------------------------
  trait Expression {
    def *(multiplier: Int):    Expression
    def +(addend: Expression): Expression
    def reduce(bank: Bank, to: String): Money
  }
  class Money(private[Chapter16] val amount: Int, val currency: String) extends Expression {
    def *(multiplier: Int): Money    = Money(amount * multiplier, currency)
    def +(addend: Expression): Expression = Sum(this, addend)

    def reduce(bank: Bank, to: String): Money =
      Money(amount / bank.rate(currency -> to), to)
    override def equals(a: Any): Boolean = a match { case another: Money =>
      another.amount   == amount &&
      another.currency == currency
    }
  }
  case class Sum(augend: Expression, append: Expression) extends Expression {
    def *(multiplier: Int):    Expression = Sum(augend * multiplier, append * multiplier)
    def +(addend: Expression): Expression = Sum(this, addend)

    def reduce(bank: Bank, to: String): Money = {
      val amount = augend.reduce(bank, to).amount + append.reduce(bank, to).amount
      Money(amount, to)
    }
  }
  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")
  }
  type CurrencyPair = (String, String)
  class Bank(private val rates: Map[CurrencyPair, Int] = Map.empty) {
    def reduce(source: Expression, to: String):   Money = source.reduce(this, to)
    def addRate(fromTo: CurrencyPair, rate: Int): Bank  = new Bank(rates + (fromTo -> rate))
    def rate(fromTo: CurrencyPair): Int = rates.getOrElse(fromTo, 1)
  }

// 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 rateValueGen: Gen[Int] = Gen.chooseNum(1, 10)

  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)
  }
  implicit class MoneyTestOp(m: Money) {
    def equiv(e: Expression): Boolean = m == new Bank().reduce(e, m.currency)
  }
  def reduce(m: Money): Money = new Bank().reduce(m, m.currency)
  def compair(b: Bank, currency: String)(e1: Expression, e2: Expression): Boolean =
    b.reduce(e1, currency) == b.reduce(e2, currency)
  implicit class CompareExpression(e1: Expression)(implicit p: (Expression, Expression) => Boolean) {
    def ====(e2: Expression): Boolean = p(e1, e2)
  }
  def bank(rate: ((String, String), Int)): Bank = new Bank().addRate(rate._1, rate._2)
  def mapPair[A, B](a1: A, a2: A)(f: A => B): (B, B) = (f(a1), f(a2))

  def unique2[A](gen: Gen[A]): Gen[(A, A)] = double(gen).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 }

  val rateGen: Gen[((String, String), Int)] = {
    val g1 = currencyGen.map(c => ((c, c), 1))
    val g2 = (unique2(currencyGen), rateValueGen).mapN((_, _))
    Gen.frequency((1, g1), (2, g2))
  }
// 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("(c1==c2) == (m1.currency==m2.currency)") =
    forAll(currencyGen, currencyGen, intGen) { (c1, c2, n) =>
      val (m1, m2) = mapPair(c1, c2)((currency: String) => constructor(currency)(n))
      (c1 == c2) == (m1.currency == m2.currency)
    }
  property("money(a + b) == money(a) + money(b)") =
    forAll(intGen, intGen, moneyConsGen) { (a: Int, b: Int, money: Int => Money) =>
      money(a + b) equiv money(a) + money(b)
    }
  property("m == reduce(m, m.currency) where m = money(n)") =
    forAll(intGen, moneyConsGen) { (n: Int, money: Int => Money) =>
      reduce(money(n)) == money(n)
    }
  property("reduce(m1(amount)) == m2(amount / rate)") =
    forAll(intGen, rateGen) { case (amount, rate@((src, dst), r)) =>
      val (m1, m2) = mapPair(src, dst)(constructor)
      val reduce = (e: Expression) => bank(rate).reduce(e, dst)

      reduce(m1(amount)) == m2(amount / r)
    }
  property("identity rate") = forAll(currencyGen) { c: String =>
    new Bank().rate(c -> c) == 1
  }
  property("reduce(c1(n1) + c2(n2)) == c2(n1 / r + n2)") =
    forAll(intGen, intGen, rateGen) { case (n1, n2, rate@((src, dst), r)) =>
      val (c1, c2) = mapPair(src, dst)(constructor)
      val reduce   = (e: Expression) => bank(rate).reduce(e, dst)

      reduce(c1(n1) + c2(n2)) == c2(n1 / r + n2)
    }
  property("reduce(x + y) equiv reduce(x) + y") =
    forAll(intGen, intGen, rateGen) { case (n1, n2, ((src, dst), r)) =>

      val reduce = (e: Expression) => new Bank().addRate(src -> dst, r).reduce(e, dst)
      val x = constructor(src)(n1)
      val y = constructor(dst)(n2)

      reduce(x + y) equiv reduce(x) + y
    }
  property("(x + y) + z = x + (y + z)") =
    forAll(triple(moneyGen), rateGen) { case ((x, y, z), ((src, dst), r)) =>
      implicit val _ = compair(new Bank().addRate(src -> dst, r), dst) _

      (x + y) + z ==== x + (y + z)
    }
  property("x * m + y * m = (x + y) * m") =
    forAll(double(moneyGen), intGen, rateGen) { case ((x, y), m, ((src, dst), r)) =>
      implicit val _ = compair(new Bank().addRate(src -> dst, r), dst) _

      x * m + y * m ==== (x + y) * m
    }
}