Refactoring to support cats. Adding documentation. Moving DAGs.

build.sbt

@@ -13,6 +13,10 @@ ThisBuild / licenses := Seq(
   "MIT" -> url("https://git.garrity.co/garrity-software/gs-graph/LICENSE")
 )
 
+val noPublishSettings = Seq(
+  publish := {}
+)
+
 val sharedSettings = Seq(
   scalaVersion          := scala3,
   version               := semVerSelected.value,
@@ -21,6 +25,11 @@ val sharedSettings = Seq(
 )
 
 val Deps = new {
+
+  val Cats = new {
+    val Core: ModuleID = "org.typelevel" %% "cats-core" % "2.13.0"
+  }
+
   val Gs = new {
     val Datagen: ModuleID = "gs" %% "gs-datagen-core-v0" % "0.3.3"
   }
@@ -37,10 +46,21 @@ lazy val testSettings = Seq(
 
 lazy val `gs-graph` = project
   .in(file("."))
+  .aggregate(core, cats)
   .settings(sharedSettings)
   .settings(testSettings)
   .settings(name := s"${gsProjectName.value}-v${semVerMajor.value}")
-  .settings(
-    libraryDependencies ++= Seq(
-    )
-  )
+
+lazy val core = project
+  .in(file("modules/core"))
+  .settings(sharedSettings)
+  .settings(testSettings)
+  .settings(name := s"${gsProjectName.value}-core-v${semVerMajor.value}")
+
+lazy val cats = project
+  .in(file("modules/cats"))
+  .dependsOn(core)
+  .settings(sharedSettings)
+  .settings(testSettings)
+  .settings(name := s"${gsProjectName.value}-cats-v${semVerMajor.value}")
+  .settings(libraryDependencies ++= Seq(Deps.Cats.Core))

modules/cats/src/main/scala/gs/graph/v0/cats/GraphTraversalCats.scala

@@ -0,0 +1,188 @@
+package gs.graph.v0.cats
+
+import cats.Monad
+import cats.syntax.all.*
+import gs.graph.v0.Graph
+import gs.graph.v0.Vertex
+import gs.graph.v0.data.DataDigraph
+import scala.collection.mutable.ListBuffer
+import scala.collection.mutable.Stack
+
+/** Graph traversal implementations (such as DFS and BFS) that operate in a
+  * monadic context, as defined by the `cats` library.
+  */
+object GraphTraversalCats:
+
+  /** Depth-first search (DFS) where the result of visiting each node is a
+    * side-effecting computation.
+    *
+    * This implementation selects the first [[Vertex]] as an arbitrary starting
+    * point.
+    *
+    * @param graph
+    *   The [[Graph]] to traverse.
+    * @param visit
+    *   The visitor function.
+    * @return
+    *   The computation that describes the traversal.
+    */
+  def dfsUnit[F[_]: Monad](
+    graph: Graph,
+    visit: Vertex => F[Unit]
+  ): F[Unit] =
+    val output     = ListBuffer.empty[F[Unit]]
+    val s          = Stack.empty[Vertex]
+    val discovered = Array.fill(graph.numberOfVertices.value)(false)
+
+    val root = Vertex.Zero
+    s.push(root)
+
+    while !s.isEmpty
+    do
+      val v = s.pop()
+      if !discovered(v.ordinal) then
+        output.addOne(visit(v))
+        discovered(v.ordinal) = true
+        graph.neighbors(v).foreach(w => s.push(w))
+      else ()
+
+    output.foldLeft(Monad[F].unit) {
+      (
+        acc,
+        f
+      ) => acc.flatMap(_ => f)
+    }
+
+  /** Depth-first search (DFS) where the result of visiting each node is some
+    * computed output.
+    *
+    * This implementation selects the first [[Vertex]] as an arbitrary starting
+    * point.
+    *
+    * @param graph
+    *   The [[Graph]] to traverse.
+    * @param visit
+    *   The visitor function.
+    * @return
+    *   The computation that describes the traversal, producing a list of
+    *   outputs.
+    */
+  def dfs[F[_]: Monad, Output](
+    graph: Graph,
+    visit: Vertex => F[Output]
+  ): F[List[Output]] =
+    val output     = ListBuffer.empty[F[Output]]
+    val s          = Stack.empty[Vertex]
+    val discovered = Array.fill(graph.numberOfVertices.value)(false)
+
+    val root = Vertex.Zero
+    s.push(root)
+
+    while !s.isEmpty
+    do
+      val v = s.pop()
+      if !discovered(v.ordinal) then
+        val _ = output.addOne(visit(v))
+        discovered(v.ordinal) = true
+        graph.neighbors(v).foreach(w => s.push(w))
+      else ()
+
+    output.foldLeft(Monad[F].pure(List.empty[Output])) {
+      (
+        acc,
+        result
+      ) =>
+        for
+          current <- acc
+          out     <- result
+        yield out :: current
+    }
+
+  /** Depth-first search (DFS) where the result of visiting each node is a
+    * side-effecting computation.
+    *
+    * This implementation performs DFS for _each root_ in the input
+    * [[DataDigraph]].
+    *
+    * @param graph
+    *   The [[DataDigraph]] to traverse.
+    * @param visit
+    *   The visitor function.
+    * @return
+    *   The computation that describes the traversal.
+    */
+  def dfsUnit[F[_]: Monad, A](
+    digraph: DataDigraph[A],
+    visit: (Vertex, A) => F[Unit]
+  ): F[Unit] =
+    val output     = ListBuffer.empty[F[Unit]]
+    val s          = Stack.empty[Vertex]
+    val discovered = Array.fill(digraph.numberOfVertices.value)(false)
+
+    digraph.roots.foreach { root =>
+      s.push(root)
+
+      while !s.isEmpty
+      do
+        val v = s.pop()
+        if !discovered(v.ordinal) then
+          output.addOne(visit(v, digraph.data(v.ordinal)))
+          discovered(v.ordinal) = true
+          digraph.neighbors(v).foreach(w => s.push(w))
+        else ()
+    }
+
+    output.foldLeft(Monad[F].unit) {
+      (
+        acc,
+        f
+      ) => acc.flatMap(_ => f)
+    }
+
+  /** Depth-first search (DFS) where the result of visiting each node is some
+    * computed output.
+    *
+    * This implementation performs DFS for _each root_ in the input
+    * [[DataDigraph]].
+    *
+    * @param graph
+    *   The [[DataDigraph]] to traverse.
+    * @param visit
+    *   The visitor function.
+    * @return
+    *   The computation that describes the traversal, producing a list of
+    *   outputs.
+    */
+  def dfs[F[_]: Monad, A, Output](
+    digraph: DataDigraph[A],
+    visit: (Vertex, A) => F[Output]
+  ): F[List[Output]] =
+    val output     = ListBuffer.empty[F[Output]]
+    val s          = Stack.empty[Vertex]
+    val discovered = Array.fill(digraph.numberOfVertices.value)(false)
+
+    digraph.roots.foreach { root =>
+      s.push(root)
+
+      while !s.isEmpty
+      do
+        val v = s.pop()
+        if !discovered(v.ordinal) then
+          val _ = output.addOne(visit(v, digraph.data(v.ordinal)))
+          discovered(v.ordinal) = true
+          digraph.neighbors(v).foreach(w => s.push(w))
+        else ()
+    }
+
+    output.foldLeft(Monad[F].pure(List.empty[Output])) {
+      (
+        acc,
+        result
+      ) =>
+        for
+          current <- acc
+          out     <- result
+        yield out :: current
+    }
+
+end GraphTraversalCats

modules/cats/src/main/scala/gs/graph/v0/cats/syntax/extensions.scala

@@ -0,0 +1,24 @@
+package graph.gs.v0.cats.syntax
+
+import cats.Monad
+import gs.graph.v0.Graph
+import gs.graph.v0.Vertex
+import gs.graph.v0.cats.GraphTraversalCats
+import gs.graph.v0.data.DataDigraph
+
+extension (graph: Graph)
+
+  def dfsUnit[F[_]: Monad](visit: Vertex => F[Unit]): F[Unit] =
+    GraphTraversalCats.dfsUnit[F](graph, visit)
+
+  def dfs[F[_]: Monad, Output](visit: Vertex => F[Output]): F[List[Output]] =
+    GraphTraversalCats.dfs[F, Output](graph, visit)
+
+extension [A](graph: DataDigraph[A])
+
+  def dfsUnit[F[_]: Monad](visit: (Vertex, A) => F[Unit]): F[Unit] =
+    GraphTraversalCats.dfsUnit[F, A](graph, visit)
+
+  def dfs[F[_]: Monad, Output](visit: (Vertex, A) => F[Output])
+    : F[List[Output]] =
+    GraphTraversalCats.dfs[F, A, Output](graph, visit)

modules/core/src/main/scala/gs/graph/v0/GraphTraversal.scala

@@ -4,9 +4,9 @@ import gs.graph.v0.data.DataDigraph
 import scala.collection.mutable.ListBuffer
 import scala.collection.mutable.Stack
 
-/** Depth-First Search (DFS)
+/** Graph traversal algorithms including DFS and BFS.
   */
-object DFS:
+object GraphTraversal:
 
   /** Depth-first search that executes a side-effecting function on each
     * [[Vertex]]. This function will operate on _any_ [[Graph]].
@@ -105,6 +105,8 @@ object DFS:
         else ()
     }
 
+    ()
+
   /** Depth-first search that executes a function on each [[Vertex]] to produce
     * some output, accepting the data stored for that [[Vertex]] as input.
     *
@@ -141,4 +143,4 @@ object DFS:
 
     output.toList
 
-end DFS
+end GraphTraversal

modules/core/src/main/scala/gs/graph/v0/data/DataDag.scala

@@ -0,0 +1,83 @@
+package gs.graph.v0.data
+
+import gs.graph.v0.Adjacency
+import gs.graph.v0.GraphException
+import gs.graph.v0.Size
+import gs.graph.v0.Vertex
+import gs.graph.v0.directed.Dag
+
+/** Specialization of [[Dag]] that associates _data_ with _each [[Vertex]]_.
+  */
+final class DataDag[A] private (
+  val data: Vector[A],
+  n: Size,
+  a: Adjacency,
+  r: Vector[Vertex]
+) extends Dag(n, a, r):
+
+  /** Retrieve the data associated with some [[Vertex]].
+    *
+    * This implementation throws an exception if the input [[Vertex]] is out of
+    * range for this graph.
+    *
+    * @param vertex
+    *   The input [[Vertex]].
+    * @return
+    *   The data associated with the input [[Vertex]].
+    */
+  def dataAtUnsafe(vertex: Vertex): A =
+    if vertex < n then data.apply(vertex.ordinal)
+    else throw GraphException.VertexExceedsGraphBounds(vertex, n)
+
+  /** Retrieve the data associated with some [[Vertex]].
+    *
+    * @param vertex
+    *   The input [[Vertex]].
+    * @return
+    *   The data associated with the input [[Vertex]], or `None` if the
+    *   [[Vertex]] is out of range for this graph.
+    */
+  def dataAt(vertex: Vertex): Option[A] =
+    if vertex < n then Some(data.apply(vertex.ordinal)) else None
+
+object DataDag:
+
+  /** @return
+    *   An empty [[Dag]] with no data.
+    */
+  def empty[A]: DataDag[A] =
+    new DataDag[A](
+      Vector.empty,
+      Size.Zero,
+      Adjacency.Empty,
+      Vector.empty
+    )
+
+  /** Instantiate a new [[DataDag]] given an input [[Dag]] and some data.
+    *
+    * Throws an exception if the input data vector does not exactly match the
+    * number of nodes in the graph -- each node MUST have a data element.
+    *
+    * @param dag
+    *   The input [[Dag]].
+    * @param data
+    *   The data to associate with the [[Dag]].
+    * @return
+    *   The new [[DataDag]] instance.
+    */
+  def fromDag[A](
+    dag: Dag,
+    data: Vector[A]
+  ): DataDag[A] =
+    if dag.numberOfVertices != Size.fromVector(data) then
+      throw GraphException.DataGraphMismatch(
+        dag.numberOfVertices,
+        data.length
+      )
+    else
+      new DataDag(
+        data,
+        dag.numberOfVertices,
+        dag.adjacency,
+        dag.roots
+      )

modules/core/src/main/scala/gs/graph/v0/data/DataDigraph.scala

@@ -6,7 +6,9 @@ import gs.graph.v0.Size
 import gs.graph.v0.Vertex
 import gs.graph.v0.directed.Digraph
 
-final class DataDigraph[A](
+/** Specialization of [[Digraph]] that associates _data_ with _each [[Vertex]]_.
+  */
+final class DataDigraph[A] private (
   val data: Vector[A],
   n: Size,
   a: Adjacency,
@@ -40,6 +42,9 @@ final class DataDigraph[A](
 
 object DataDigraph:
 
+  /** @return
+    *   An empty [[Digraph]] with no data.
+    */
   def empty[A]: DataDigraph[A] =
     new DataDigraph[A](
       Vector.empty,
@@ -48,6 +53,19 @@ object DataDigraph:
       Vector.empty
     )
 
+  /** Instantiate a new [[DataDigraph]] given an input [[Digraph]] and some
+    * data.
+    *
+    * Throws an exception if the input data vector does not exactly match the
+    * number of nodes in the graph -- each node MUST have a data element.
+    *
+    * @param digraph
+    *   The input [[Digraph]].
+    * @param data
+    *   The data to associate with the [[Digraph]].
+    * @return
+    *   The new [[DataDigraph]] instance.
+    */
   def fromDigraph[A](
     digraph: Digraph,
     data: Vector[A]

modules/core/src/main/scala/gs/graph/v0/directed/Dag.scala

@@ -1,17 +1,16 @@
-package gs.graph.v0.dag
+package gs.graph.v0.directed
 
 import gs.graph.v0.Adjacency
 import gs.graph.v0.GraphError
 import gs.graph.v0.Size
 import gs.graph.v0.Vertex
-import gs.graph.v0.directed.Digraph
 
 /** Directed Acyclic Graph (DAG): Represents a [[Digraph]] with no cycles.
   *
   * Instances of this class guarantee that property - it can only be
   * instantiated by validating some [[Digraph]].
   */
-class Dag private (
+class Dag protected (
   n: Size,
   a: Adjacency,
   r: Vector[Vertex]

modules/core/src/main/scala/gs/graph/v0/directed/Digraph.scala

@@ -6,7 +6,6 @@ import gs.graph.v0.Graph
 import gs.graph.v0.GraphDisposition
 import gs.graph.v0.Size
 import gs.graph.v0.Vertex
-import gs.graph.v0.dag.Dag
 
 /** Directed implementation of [[Graph]].
   *