diff options
Diffstat (limited to 'docs/examples/monads')
-rw-r--r-- | docs/examples/monads/callccInterpreter.scala | 86 | ||||
-rw-r--r-- | docs/examples/monads/directInterpreter.scala | 55 | ||||
-rw-r--r-- | docs/examples/monads/errorInterpreter.scala | 86 | ||||
-rw-r--r-- | docs/examples/monads/simpleInterpreter.scala | 75 | ||||
-rw-r--r-- | docs/examples/monads/stateInterpreter.scala | 86 |
5 files changed, 0 insertions, 388 deletions
diff --git a/docs/examples/monads/callccInterpreter.scala b/docs/examples/monads/callccInterpreter.scala deleted file mode 100644 index b5008c4c1b..0000000000 --- a/docs/examples/monads/callccInterpreter.scala +++ /dev/null @@ -1,86 +0,0 @@ -object callccInterpreter { - - def id[a](x: a) = x - - type Answer = Value; - - case class M[A](in: (A => Answer) => Answer) { - def bind[B](k: A => M[B]) = M[B](c => in (a => k(a) in c)); - def map[B](f: A => B): M[B] = bind(x => unitM(f(x))); - def flatMap[B](f: A => M[B]): M[B] = bind(f); - } - - def unitM[A](a: A) = M[A](c => c(a)); - - def showM(m: M[Value]): String = (m in id).toString(); - - def callCC[A](h: (A => M[A]) => M[A]) = - M[A](c => h(a => M[A](d => c(a))) in c); - - type Name = String; - - trait Term; - case class Var(x: Name) extends Term; - case class Con(n: Int) extends Term; - case class Add(l: Term, r: Term) extends Term; - case class Lam(x: Name, body: Term) extends Term; - case class App(fun: Term, arg: Term) extends Term; - case class Ccc(x: Name, t: Term) extends Term; - - trait Value; - case object Wrong extends Value { - override def toString() = "wrong" - } - case class Num(n: Int) extends Value { - override def toString() = n.toString(); - } - case class Fun(f: Value => M[Value]) extends Value { - override def toString() = "<function>" - } - - type Environment = List[Tuple2[Name, Value]]; - - def lookup(x: Name, e: Environment): M[Value] = e match { - case List() => unitM(Wrong) - case (y, b) :: e1 => if (x == y) unitM(b) else lookup(x, e1) - } - - def add(a: Value, b: Value): M[Value] = (a, b) match { - case (Num(m), Num(n)) => unitM(Num(m + n)) - case _ => unitM(Wrong) - } - - def apply(a: Value, b: Value): M[Value] = a match { - case Fun(k) => k(b) - case _ => unitM(Wrong) - } - - def interp(t: Term, e: Environment): M[Value] = t match { - case Var(x) => lookup(x, e) - case Con(n) => unitM(Num(n)) - case Add(l, r) => for (a <- interp(l, e); - b <- interp(r, e); - c <- add(a, b)) - yield c - case Lam(x, t) => unitM(Fun(a => interp(t, (x, a) :: e))) - case App(f, t) => for (a <- interp(f, e); - b <- interp(t, e); - c <- apply(a, b)) - yield c - case Ccc(x, t) => callCC(k => interp(t, (x, Fun(k)) :: e)) - } - - def test(t: Term): String = - showM(interp(t, List())); - - val term0 = App(Lam("x", Add(Var("x"), Var("x"))), Add(Con(10), Con(11))); - val term1 = App(Con(1), Con(2)); - val term2 = Add(Con(1), Ccc("k", Add(Con(2), App(Var("k"), Con(4))))); - - def main(args: Array[String]) = { - System.out.println(test(term0)); - System.out.println(test(term1)); - System.out.println(test(term2)); - } -} - diff --git a/docs/examples/monads/directInterpreter.scala b/docs/examples/monads/directInterpreter.scala deleted file mode 100644 index d8ca8ccfa7..0000000000 --- a/docs/examples/monads/directInterpreter.scala +++ /dev/null @@ -1,55 +0,0 @@ -object directInterpreter { - - type Name = String; - - trait Term; - case class Var(x: Name) extends Term; - case class Con(n: Int) extends Term; - case class Add(l: Term, r: Term) extends Term; - case class Lam(x: Name, body: Term) extends Term; - case class App(fun: Term, arg: Term) extends Term; - - trait Value; - case object Wrong extends Value; - case class Num(n: Int) extends Value; - case class Fun(f: Value => Value)extends Value; - - def showval(v: Value): String = v match { - case Wrong => "<wrong>" - case Num(n) => n.toString() - case Fun(f) => "<function>" - } - - type Environment = List[Tuple2[Name, Value]]; - - def lookup(x: Name, e: Environment): Value = e match { - case List() => Wrong - case (y, b) :: e1 => if (x == y) b else lookup(x, e1) - } - - def add(a: Value, b: Value): Value = (a, b) match { - case (Num(m), Num(n)) => Num(m + n) - case _ => Wrong - } - - def apply(a: Value, b: Value) = a match { - case Fun(k) => k(b) - case _ => Wrong - } - - def interp(t: Term, e: Environment): Value = t match { - case Var(x) => lookup(x, e) - case Con(n) => Num(n) - case Add(l, r) => add(interp(l, e), interp(r, e)) - case Lam(x, t) => Fun(a => interp(t, (x, a) :: e)) - case App(f, t) => apply(interp(f, e), interp(t, e)) - } - - def test(t: Term): String = - showval(interp(t, List())); - - val term0 = App(Lam("x", Add(Var("x"), Var("x"))), Add(Con(10), Con(11))); - - def main(args: Array[String]) = - System.out.println(test(term0)); -} diff --git a/docs/examples/monads/errorInterpreter.scala b/docs/examples/monads/errorInterpreter.scala deleted file mode 100644 index c15e1041e2..0000000000 --- a/docs/examples/monads/errorInterpreter.scala +++ /dev/null @@ -1,86 +0,0 @@ -object errorInterpreter { - - trait M[A] { - def show: String - def bind[B](k: A => M[B]): M[B] - def map[B](f: A => B): M[B] = bind(x => unitM(f(x))) - def flatMap[B](f: A => M[B]): M[B] = bind(f) - } - - def unitM[A](a: A): M[A] = new Suc(a) - def errorM[A](msg: String): M[A] = new Err(msg) - - def showM(m: M[Value]): String = m.show - - class Suc[A](x: A) extends M[A] { - def bind[B](k: A => M[B]): M[B] = k(x) - def show: String = "Success: " + x - } - class Err[A](msg: String) extends M[A] { - def bind[B](k: A => M[B]): M[B] = new Err(msg) - def show: String = "Error: " + msg - } - - type Name = String - - trait Term - case class Var(x: Name) extends Term - case class Con(n: Int) extends Term - case class Add(l: Term, r: Term) extends Term - case class Lam(x: Name, body: Term) extends Term - case class App(fun: Term, arg: Term) extends Term - - trait Value - case object Wrong extends Value { - override def toString() = "wrong" - } - case class Num(n: Int) extends Value { - override def toString() = n.toString() - } - case class Fun(f: Value => M[Value]) extends Value { - override def toString() = "<function>" - } - - type Environment = List[Tuple2[Name, Value]] - - def lookup(x: Name, e: Environment): M[Value] = e match { - case List() => errorM("unbound variable: " + x); - case (y, b) :: e1 => if (x == y) unitM(b) else lookup(x, e1) - } - - def add(a: Value, b: Value): M[Value] = (a, b) match { - case (Num(m), Num(n)) => unitM(Num(m + n)) - case _ => errorM("should be numbers: " + a + "," + b) - } - - def apply(a: Value, b: Value): M[Value] = a match { - case Fun(k) => k(b) - case _ => errorM("should be function: " + a) - } - - def interp(t: Term, e: Environment): M[Value] = t match { - case Var(x) => lookup(x, e) - case Con(n) => unitM(Num(n)) - case Add(l, r) => for (a <- interp(l, e); - b <- interp(r, e); - c <- add(a, b)) - yield c - case Lam(x, t) => unitM(Fun(a => interp(t, (x, a) :: e))) - case App(f, t) => for (a <- interp(f, e); - b <- interp(t, e); - c <- apply(a, b)) - yield c - } - - def test(t: Term): String = - showM(interp(t, List())) - - val term0 = App(Lam("x", Add(Var("x"), Var("x"))), Add(Con(10), Con(11))) - val term1 = App(Con(1), Con(2)) - - def main(args: Array[String]) = { - System.out.println(test(term0)) - System.out.println(test(term1)) - } -} - diff --git a/docs/examples/monads/simpleInterpreter.scala b/docs/examples/monads/simpleInterpreter.scala deleted file mode 100644 index 64636749ff..0000000000 --- a/docs/examples/monads/simpleInterpreter.scala +++ /dev/null @@ -1,75 +0,0 @@ -object simpleInterpreter { - - case class M[A](value: A) { - def bind[B](k: A => M[B]): M[B] = k(value); - def map[B](f: A => B): M[B] = bind(x => unitM(f(x))); - def flatMap[B](f: A => M[B]): M[B] = bind(f); - } - - def unitM[A](a: A): M[A] = M(a); - - def showM(m: M[Value]): String = m.value.toString(); - - type Name = String; - - trait Term; - case class Var(x: Name) extends Term; - case class Con(n: Int) extends Term; - case class Add(l: Term, r: Term) extends Term; - case class Lam(x: Name, body: Term) extends Term; - case class App(fun: Term, arg: Term) extends Term; - - trait Value; - case object Wrong extends Value { - override def toString() = "wrong" - } - case class Num(n: Int) extends Value { - override def toString() = n.toString(); - } - case class Fun(f: Value => M[Value]) extends Value { - override def toString() = "<function>" - } - - type Environment = List[Tuple2[Name, Value]]; - - def lookup(x: Name, e: Environment): M[Value] = e match { - case List() => unitM(Wrong) - case (y, b) :: e1 => if (x == y) unitM(b) else lookup(x, e1) - } - - def add(a: Value, b: Value): M[Value] = (a, b) match { - case (Num(m), Num(n)) => unitM(Num(m + n)) - case _ => unitM(Wrong) - } - - def apply(a: Value, b: Value): M[Value] = a match { - case Fun(k) => k(b) - case _ => unitM(Wrong) - } - - def interp(t: Term, e: Environment): M[Value] = t match { - case Var(x) => lookup(x, e) - case Con(n) => unitM(Num(n)) - case Add(l, r) => for (a <- interp(l, e); - b <- interp(r, e); - c <- add(a, b)) - yield c - case Lam(x, t) => unitM(Fun(a => interp(t, (x, a) :: e))) - case App(f, t) => for (a <- interp(f, e); - b <- interp(t, e); - c <- apply(a, b)) - yield c - } - - def test(t: Term): String = - showM(interp(t, List())); - - val term0 = App(Lam("x", Add(Var("x"), Var("x"))), Add(Con(10), Con(11))); - val term1 = App(Con(1), Con(2)); - - def main(args: Array[String]) = { - System.out.println(test(term0)); - System.out.println(test(term1)); - } -} - diff --git a/docs/examples/monads/stateInterpreter.scala b/docs/examples/monads/stateInterpreter.scala deleted file mode 100644 index e13e9049da..0000000000 --- a/docs/examples/monads/stateInterpreter.scala +++ /dev/null @@ -1,86 +0,0 @@ -package examples.monads; - -object stateInterpreter { - - type State = Int; - - val tickS = new M(s => ((), s + 1)); - - case class M[A](in: State => Tuple2[A, State]) { - def bind[B](k: A => M[B]) = M[B]{ s0 => - val (a, s1) = this in s0; k(a) in s1 - } - def map[B](f: A => B): M[B] = bind(x => unitM(f(x))); - def flatMap[B](f: A => M[B]): M[B] = bind(f); - } - - def unitM[A](a: A) = M[A](s => (a, s)); - - def showM(m: M[Value]): String = { - val (a, s1) = m in 0; - "Value: " + a + "; Count: " + s1 - } - - type Name = String; - - trait Term; - case class Var(x: Name) extends Term; - case class Con(n: Int) extends Term; - case class Add(l: Term, r: Term) extends Term; - case class Lam(x: Name, body: Term) extends Term; - case class App(fun: Term, arg: Term) extends Term; - - trait Value; - case object Wrong extends Value { - override def toString() = "wrong" - } - case class Num(n: Int) extends Value { - override def toString() = n.toString(); - } - case class Fun(f: Value => M[Value]) extends Value { - override def toString() = "<function>" - } - - type Environment = List[Tuple2[Name, Value]]; - - def lookup(x: Name, e: Environment): M[Value] = e match { - case List() => unitM(Wrong) - case (y, b) :: e1 => if (x == y) unitM(b) else lookup(x, e1) - } - - def add(a: Value, b: Value): M[Value] = (a, b) match { - case (Num(m), Num(n)) => for (_ <- tickS) yield Num(m + n) - case _ => unitM(Wrong) - } - - def apply(a: Value, b: Value): M[Value] = a match { - case Fun(k) => for (_ <- tickS; c <- k(b)) yield c - case _ => unitM(Wrong) - } - - def interp(t: Term, e: Environment): M[Value] = t match { - case Var(x) => lookup(x, e) - case Con(n) => unitM(Num(n)) - case Add(l, r) => for (a <- interp(l, e); - b <- interp(r, e); - c <- add(a, b)) - yield c - case Lam(x, t) => unitM(Fun(a => interp(t, (x, a) :: e))) - case App(f, t) => for (a <- interp(f, e); - b <- interp(t, e); - c <- apply(a, b)) - yield c - } - - def test(t: Term): String = - showM(interp(t, List())); - - val term0 = App(Lam("x", Add(Var("x"), Var("x"))), Add(Con(10), Con(11))); - val term1 = App(Con(1), Con(2)); - - def main(args: Array[String]) = { - System.out.println(test(term0)); - System.out.println(test(term1)); - } -} - |