Name: dag Version: 0.1.0.2 Author: Athan Clark Maintainer: Athan Clark License: BSD3 License-File: LICENSE Synopsis: Compile-time, type-safe directed acyclic graphs. Description: This is a type-safe approach for a directed acyclic graph. . Edge construction is incremental, creating a "schema": . > import Data.Graph.DAG.Edge > > -- | Edges are statically defined: > edges = > ECons (Edge :: EdgeValue "foo" "bar") $ > ECons (Edge :: EdgeValue "bar" "baz") $ > ECons (Edge :: EdgeValue "foo" "baz") > unique -- ENil, but casted for uniquely edged graphs . The nodes are separate from edges; graph may be not connected: . > data Cool = AllRight > | Radical > | SuperDuper > > nodes = > nadd "foo" AllRight $ > nadd "bar" Radical $ > nadd "baz" SuperDuper $ > nempty . Some type tomfoolery: . > *Data.Graph.DAG> :t edges > > edges > :: EdgeSchema > '['EdgeType "foo" "bar", 'EdgeType "bar" "baz", > 'EdgeType "foo" "baz"] -- Type list of edges > '['("foo", '["bar", "baz"]), '("bar", '["baz"])] -- potential loops > 'True -- uniqueness > > *Data.Graph.DAG> :t getSpanningTrees $ edges > > getSpanningTrees $ edges > :: Data.Proxy.Proxy > '['Node "foo" '['Node "bar" '['Node "baz" '[]] > ,'Node "baz" '[]] > ,'Node "bar" '['Node "baz" '[]] > ,'Node "baz" '[]] > > *Data.Graph.DAG> reflect $ getSpanningTrees $ edges > > [Node "foo" [Node "bar" [Node "baz" []] > ,Node "baz" []] > ,Node "bar" [Node "baz" []] > ,Node "baz" []] . We can also look at the edges, first-class: . > *Data.Graph.DAG> fcEdges edges > > [("foo","bar"),("foo","baz"),("bar","baz")] . Note that a @NodeSchema@'s keys don't have to be in-sync with it's paired @EdgeSchema@. After we have both, we can construct a @DAG@: . > graph = DAG edges nodes . Now we can do fun things, like get the spanning tree of a node: . > *Data.Graph.DAG> gtree "foo" graph > > Just (AllRight :@-> [Radical :@-> [SuperDuper :@-> []] > ,SuperDuper :@-> []]) . This library is still very naive, but it will give us compile-time enforcement of acyclicity (and uniqueness) in these graphs - ideal for dependency graphs. . The main deficiency of this graph is that our @EdgeSchema@ can't be /deconstructed/ soundly - there is just too much information loss between the value and type levels. This means we can't delete edges or look inside, but we can still add edges or work with the resulting structure. Cabal-Version: >= 1.10 Build-Type: Simple Library Default-Language: Haskell2010 HS-Source-Dirs: src GHC-Options: -Wall Exposed-Modules: Data.Graph.DAG Data.Graph.DAG.Edge Data.Graph.DAG.Edge.Utils Data.Graph.DAG.Node Build-Depends: base >= 4.7 && < 5 , constraints , singletons Test-Suite spec Type: exitcode-stdio-1.0 Default-Language: Haskell2010 Hs-Source-Dirs: src , test Ghc-Options: -Wall Main-Is: Spec.hs Build-Depends: base , hspec , QuickCheck , quickcheck-instances Source-Repository head Type: git Location: https://github.com/athanclark/dag