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authorAdriaan Moors <adriaan.moors@epfl.ch>2007-04-06 09:23:03 +0000
committerAdriaan Moors <adriaan.moors@epfl.ch>2007-04-06 09:23:03 +0000
commite1c732db445d1ab0172bc25073ce865acc7d280b (patch)
tree4e1445535167194e09815e95563e4d2a9ef927f3 /docs
parent289fd3d7307ca117a419e71e3a20b0b811a0d33f (diff)
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merged in tcpoly branch (at r10641)
Diffstat (limited to 'docs')
-rw-r--r--docs/examples/tcpoly/collection/HOSeq.scala167
-rw-r--r--docs/examples/tcpoly/monads/Monads.scala69
2 files changed, 236 insertions, 0 deletions
diff --git a/docs/examples/tcpoly/collection/HOSeq.scala b/docs/examples/tcpoly/collection/HOSeq.scala
new file mode 100644
index 0000000000..f2fbf720e6
--- /dev/null
+++ b/docs/examples/tcpoly/collection/HOSeq.scala
@@ -0,0 +1,167 @@
+package examples.tcpoly.collection;
+
+trait HOSeq {
+ // an internal interface that encapsulates the accumulation of elements (of type elT) to produce
+ // a structure of type coll[elT] -- different kinds of collections should provide different implicit
+ // values implementing this interface, in order to provide more performant ways of building that structure
+ trait Accumulator[+coll[x], elT] {
+ def += (el: elT): Unit
+ def result: coll[elT]
+ }
+
+
+ // Iterable abstracts over the type of its structure as well as its elements (see PolyP's Bifunctor)
+ // m[x] is intentionally unbounded: fold can then be defined nicely
+ // variance: if we write m[+x] instead of +m[+x], x is an invariant position because its enclosing type
+ // is an invariant position -- should probably rule that out?
+ trait Iterable[+m[+x], +t] {
+ //def unit[a](orig: a): m[a]
+ def elements: Iterator[t]
+
+ // construct an empty accumulator that will produce the same structure as this iterable, with elements of type t
+ def accumulator[t]: Accumulator[m, t]
+
+ def filter(p: t => Boolean): m[t] = {
+ val buf = accumulator[t]
+ val elems = elements
+ while (elems.hasNext) { val x = elems.next; if (p(x)) buf += x }
+ buf.result
+ }
+
+ def map[s](f: t => s): m[s] = {
+ val buf = accumulator[s]
+ val elems = elements
+ while (elems.hasNext) buf += f(elems.next)
+ buf.result
+ }
+
+ // flatMap is a more specialized map, it only works if the mapped function produces Iterable values,
+ // which are then added to the result one by one
+ // the compiler should be able to find the right accumulator (implicit buf) to build the result
+ // to get concat, resColl = SingletonIterable, f = unit for SingletonIterable
+ def flatMap[resColl[x] <: Iterable[resColl, x], s](f: t => resColl[s])(implicit buf: Accumulator[resColl, s]): resColl[s] = {
+ // TODO: would a viewbound for resColl[x] be better?
+ // -- 2nd-order type params are not yet in scope in view bound
+ val elems = elements
+ while (elems.hasNext) {
+ val elemss: Iterator[s] = f(elems.next).elements
+ while (elemss.hasNext) buf += elemss.next
+ }
+ buf.result
+ }
+ }
+
+ final class ListBuffer[A] {
+ private var start: List[A] = Nil
+ private var last: ::[A] = _
+ private var exported: boolean = false
+
+ /** Appends a single element to this buffer.
+ *
+ * @param x the element to append.
+ */
+ def += (x: A): unit = {
+ if (exported) copy
+ if (start.isEmpty) {
+ last = new HOSeq.this.:: (x, Nil)
+ start = last
+ } else {
+ val last1 = last
+ last = new HOSeq.this.:: (x, null) // hack: ::'s tail will actually be last
+ //last1.tl = last
+ }
+ }
+
+ /** Converts this buffer to a list
+ */
+ def toList: List[A] = {
+ exported = !start.isEmpty
+ start
+ }
+
+ /** Clears the buffer contents.
+ */
+ def clear: unit = {
+ start = Nil
+ exported = false
+ }
+
+ /** Copy contents of this buffer */
+ private def copy = {
+ var cursor = start
+ val limit = last.tail
+ clear
+ while (cursor ne limit) {
+ this += cursor.head
+ cursor = cursor.tail
+ }
+ }
+ }
+
+ implicit def listAccumulator[elT]: Accumulator[List, elT] = new Accumulator[List, elT] {
+ private[this] val buff = new ListBuffer[elT]
+ def += (el: elT): Unit = buff += el
+ def result: List[elT] = buff.toList
+ }
+
+ trait List[+t] extends Iterable[List, t] {
+ def head: t
+ def tail: List[t]
+ def isEmpty: Boolean
+ def elements: Iterator[t] = error("TODO")
+
+ // construct an empty accumulator that will produce the same structure as this iterable, with elements of type t
+ def accumulator[t]: Accumulator[List, t] = error("TODO")
+ }
+
+ // TODO: the var tl approach does not seem to work because subtyping isn't fully working yet
+ final case class ::[+b](hd: b, private val tl: List[b]) extends List[b] {
+ def head = hd
+ def tail = if(tl==null) this else tl // hack
+ override def isEmpty: boolean = false
+ }
+
+ case object Nil extends List[Nothing] {
+ def isEmpty = true
+ def head: Nothing =
+ throw new NoSuchElementException("head of empty list")
+ def tail: List[Nothing] =
+ throw new NoSuchElementException("tail of empty list")
+ }
+}
+
+
+
+// misc signatures collected from mailing list / library code:
+ /*override def flatMap[B](f: A => Iterable[B]): Set[B]
+ final override def flatMap[b](f: Any => Iterable[b]): Array[b]
+ def flatMap[b](f: a => Parser[b]) = new Parser[b]
+ override def flatMap[b](f: a => Iterable[b]): List[b]
+
+
+ MapResult[K] <: Seq[K]
+ FilterResult <: Seq[T]
+ Concat <: Seq[T]
+ Subseq <: Seq[T]
+
+
+ def map[K](f: T=>K): MapResult[K]
+ def filter(f: T=>Boolean): FilterResult
+ def subseq(from: int, to: int): Subseq
+ def flatMap[S <: Seq[K], K](f: T => S): S#Concat // legal?
+ def concat(others: Seq[T]): Concat
+ */
+
+/*trait Iterator[t] {
+ // @post hasAdvanced implies hasNext
+ // model def hasAdvanced: Boolean
+
+ def hasNext: Boolean // pure
+
+ // @pre hasAdvanced
+ def current: t // pure
+
+ // @pre hasNext
+ // @post hasAdvanced
+ def advance: Unit
+}*/ \ No newline at end of file
diff --git a/docs/examples/tcpoly/monads/Monads.scala b/docs/examples/tcpoly/monads/Monads.scala
new file mode 100644
index 0000000000..5fcb4cd35f
--- /dev/null
+++ b/docs/examples/tcpoly/monads/Monads.scala
@@ -0,0 +1,69 @@
+package examples.tcpoly.monad;
+
+trait Monads {
+ /**
+ * class Monad m where
+ * (>>=) :: m a -> (a -> m b) -> m b
+ * return :: a -> m a
+ *
+ * MonadTC encodes the above Haskell type class,
+ * an instance of MonadTC corresponds to a method dictionary.
+ * (see http://lampwww.epfl.ch/~odersky/talks/wg2.8-boston06.pdf)
+ *
+ * Note that the identity (`this') of the method dictionary does not really correspond
+ * to the instance of m[x] (`self') that is `wrapped': e.g., unit does not use `self' (which
+ * corresponds to the argument of the implicit conversion that encodes an instance of this type class)
+ */
+ // Option =:= [x] => Option[x] <: [x] => Any
+// trait MonadTC[m <: [x] => Any, a] {
+ // MonadTC[m[x], a] x is a type parameter too -- should not write e.g., m[Int] here
+ trait MonadTC[m[x], a] {
+ def unit[a](orig: a): m[a]
+
+ // >>='s first argument comes from the implicit definition constructing this "method dictionary"
+ def >>=[b](fun: a => m[b]): m[b]
+ }
+}
+
+/**
+ * instance Monad Maybe where
+ * (Just x) >>= k = k x
+ * Nothing >>= _ = Nothing
+ */
+trait OptionMonad extends Monads {
+ // this implicit method encodes the Monad type class instance for Option
+ implicit def OptionInstOfMonad[a](self: Option[a]): MonadTC[Option, a]
+ = new MonadTC[Option, a] {
+ def unit[a](orig: a) = Some(orig)
+ def >>=[b](fun: a => Option[b]): Option[b] = self match {
+ case Some(x) => fun(x)
+ case None => None
+ }
+ }
+}
+
+object main extends OptionMonad with Application {
+ Console.println(Some("aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa") >>= (x => Some(x.length)))
+}
+
+
+/*
+trait MonadTC[m[x], a] requires m[x] {
+ def unit[a](orig: a): m[a]
+
+ // >>='s first argument comes from the implicit definition constructing this "method dictionary"
+ def >>=[b](fun: a => m[b]): m[b]
+}
+
+abstract class OptionIsMonad[t[x] <: Option[x], a] implicit extends MonadTC[t, a] {
+ def unit[a](orig: a) = Some(orig) // TODO: problematic.. is a meta-member: not invoked on this
+}
+
+class SomeIsMonad[a] extends OptionIsMonad[Some, a] {
+ def >>=[b](fun: a => Option[b]): Option[b] = fun(x)
+}
+
+class NoneIsMonad[a] extends OptionIsMonad[None, a] {
+ def >>=[b](fun: a => Option[b]): Option[b] = None
+}
+*/ \ No newline at end of file