Add DAGs

README.md

@@ -21,7 +21,7 @@ which gives the following output:
 
 ![example_tree](example_tree.png)
 
-See [this notebook](examples/TreeView.ipynb) for usage examples.
+See [this notebook](examples/TreeView usage.ipynb) for usage examples.
 
 ## Installation prerequisites
 

REQUIRE

@@ -2,3 +2,4 @@ julia 0.5
 LightGraphs 0.7
 TikzGraphs 0.3
 MacroTools 0.3
+CommonSubexpressions

src/TreeView.jl

@@ -2,111 +2,30 @@ module TreeView
 
 using LightGraphs, TikzGraphs
 using MacroTools
+using CommonSubexpressions
 
 export LabelledTree, walk_tree, walk_tree!, draw, @tree, @tree_with_call,
         tikz_representation
 
-immutable LabelledTree
-    g::Graph
-    labels::Vector{String}
-end
-
-add_numbered_vertex!(g) = (add_vertex!(g); top = nv(g))  # returns the number of the new vertex
-
-# latex treats # as a special character, so we have to escape it. See:
-# https://github.com/sisl/TikzGraphs.jl/issues/12
-latex_escape(s::String) = replace(s, "#", "\\#")
-
-"Convert the current node into a label"
-function label(sym)
-    sym == :(^) && return "\\textasciicircum"  # TikzGraphs chokes on ^
-
-    return latex_escape(string("\\texttt{", sym, "}"))
-end
-
-
-"""
-    walk_tree!(g, labels, ex, show_call=true)
-
-Walk the abstract syntax tree (AST) of the given expression `ex`.
-Builds up the graph `g` and the set of `labels`
-for each node, both modified in place
-
-`show_call` specifies whether to include `call` nodes in the graph.
-Including them represents the Julia AST more precisely, but adds visual noise.
-
-Returns the number of the top vertex.
-"""
-
-function walk_tree!(g, labels, ex, show_call=true)
-
-    top_vertex = add_numbered_vertex!(g)
-
-    start_argument = 1  # which argument to start with
-
-    if !(show_call) && ex.head == :call
-        f = ex.args[1]   # the function name
-        push!(labels, label(f))
-
-        start_argument = 2   # drop "call" from tree
-
-    else
-        push!(labels, label(ex.head))
-    end
+export make_dag, @dag, @dag_cse
 
 
-    for i in start_argument:length(ex.args)
+abstract LabelledDiGraph
 
-        if isa(ex.args[i], Expr)
-
-            child = walk_tree!(g, labels, ex.args[i], show_call)
-            add_edge!(g, top_vertex, child)
-
-        else
-            n = add_numbered_vertex!(g)
-            add_edge!(g, top_vertex, n)
-
-            push!(labels, label(ex.args[i]))
-
-        end
-    end
-
-    return top_vertex
-
-end
-
-function walk_tree(ex::Expr, show_call=false)
-    g = Graph()
-    labels = String[]
-
-    walk_tree!(g, labels, ex, show_call)
-
-    return LabelledTree(g, labels)
-
-end
-
-tikz_representation(tree) = TikzGraphs.plot(tree.g, tree.labels)
-
-import Base.show
-function show(io::IO, mime::MIME"image/svg+xml", tree::LabelledTree)
-    p = tikz_representation(tree)  # TikzPicture object
-    show(io, mime, p)
+immutable LabelledTree <: LabelledDiGraph
+    g::DiGraph
+    labels::Vector{Any}
 end
 
+add_numbered_vertex!(g) = (add_vertex!(g); top = nv(g))  # returns the number of the new vertex
 
 
-function draw(tree::LabelledTree)
-    TikzGraphs.plot(tree.g, tree.labels)
-end
 
+include("tree.jl")
+include("dag.jl")
+include("display.jl")
 
-macro tree(ex::Expr)
-    walk_tree(ex)
-end
 
-macro tree_with_call(ex::Expr)
-    walk_tree(ex, true)
-end
 
 
 end # module

src/dag.jl

@@ -0,0 +1,146 @@
+# Make a DAG (Directed Acyclic Graph) by storing references to each symbol
+
+"""
+Structure representing a DAG.
+Maintains a `symbol_map` giving the currently-known symbols and the corresponding
+vertex number in the graph.
+"""
+immutable DirectedAcyclicGraph <: LabelledDiGraph
+    g::DiGraph
+    labels::Vector{Any}
+    symbol_map::Dict{Symbol, Int}
+end
+
+DirectedAcyclicGraph() = DirectedAcyclicGraph(DiGraph(), Symbol[], Dict())
+
+"""
+Adds a symbol to the DAG if it doesn't already exist.
+Returns the vertex number
+"""
+
+# Make numbers unique:
+function add_symbol!(dag::DirectedAcyclicGraph, s)  # number
+    vertex = add_numbered_vertex!(dag.g)
+    push!(dag.labels, s)
+    return vertex
+end
+
+function lookup!(dag::DirectedAcyclicGraph, s)
+    add_symbol!(dag, s)
+end
+
+"""
+Look up a symbol to see if it has already been seen.
+"""
+function lookup!(dag::DirectedAcyclicGraph, s::Symbol)
+    if haskey(dag.symbol_map, s)
+        return dag.symbol_map[s]
+
+    else  # make new one:
+        vertex = add_numbered_vertex!(dag.g)
+        push!(dag.labels, s)
+        dag.symbol_map[s] = vertex
+        return vertex
+    end
+end
+
+
+make_dag!(dag::DirectedAcyclicGraph, s) = lookup!(dag, s)
+
+"""
+Update a Directed Acyclic Graph with the result of traversing the given `Expr`ession.
+"""
+function make_dag!(dag::DirectedAcyclicGraph, ex::Expr)
+
+    local top
+
+    if ex.head == :block
+        for arg in ex.args
+            make_dag!(dag, arg)
+        end
+        return -1
+
+    elseif ex.head == :(=)  # treat assignment as just giving pointers to the tree
+        local_var = ex.args[1]
+
+        top = make_dag!(dag, ex.args[2])
+
+        dag.symbol_map[local_var] = top  # add an alias to the corresponding tree node
+
+        return top
+
+    end
+
+
+    where_start = 1  # which argument to start with
+
+    if ex.head == :call
+        f = ex.args[1]   # the function name
+        top = add_symbol!(dag, f)
+
+        where_start = 2   # drop "call" from tree
+
+
+    else
+        @show ex.head
+        top = add_symbol!(dag, ex.head)
+    end
+
+    # @show top
+
+    for arg in ex.args[where_start:end]
+
+        # @show arg, typeof(arg)
+
+        if isa(arg, Expr)
+
+            child = make_dag!(dag, arg)
+            # @show "Expr", top, child
+            add_edge!(dag.g, top, child)
+
+        else
+            child = lookup!(dag, arg)
+            # @show top, child
+            add_edge!(dag.g, top, child)
+
+        end
+    end
+
+    return top
+
+end
+
+"""
+Make a Directed Acyclic Graph (DAG) from a Julia expression.
+"""
+function make_dag(ex::Expr)
+
+    dag = DirectedAcyclicGraph()
+
+    make_dag!(dag, MacroTools.striplines(ex))
+
+    return dag
+
+end
+
+"""
+Make a Directed Acyclic Graph (DAG) from a Julia expression.
+"""
+macro dag(ex::Expr)
+    make_dag(ex)
+end
+
+"""
+Perform common subexpression elimination on a Julia `Expr`ession,
+and make a Directed Acyclic Graph (DAG) of the result.
+"""
+macro dag_cse(ex::Expr)
+    make_dag(cse(ex))  # common subexpression elimination
+end
+
+
+import Base.show
+function show(io::IO, mime::MIME"image/svg+xml", dag::DirectedAcyclicGraph)
+    p = tikz_representation(dag)  # TikzPicture object
+    show(io, mime, p)
+end

src/display.jl

@@ -0,0 +1,30 @@
+
+# latex treats # as a special character, so we have to escape it. See:
+# https://github.com/sisl/TikzGraphs.jl/issues/12
+
+latex_escape(s::String) = replace(s, "#", "\\#")
+
+"Convert a symbol or  into a LaTeX label"
+function latex_label(sym)
+    sym == :(^) && return "\\textasciicircum"  # TikzGraphs chokes on ^
+
+    return latex_escape(string("\\texttt{", sym, "}"))
+end
+
+
+"""
+Return a Tikz representation of a tree object.
+The tree object must have fields `g` (the graph) and `labels`.
+"""
+function tikz_representation(tree::LabelledDiGraph)
+    labels = String[latex_label(x) for x in tree.labels]
+    return TikzGraphs.plot(tree.g, labels)
+end
+
+
+function Base.show(io::IO, mime::MIME"image/svg+xml", tree::LabelledTree)
+
+    p = tikz_representation(tree)  # TikzPicture object
+    show(io, mime, p)
+
+end

src/tree.jl

@@ -0,0 +1,75 @@
+"""
+    walk_tree!(g, labels, ex, show_call=true)
+
+Walk the abstract syntax tree (AST) of the given expression `ex`.
+Builds up the graph `g` and the set of `labels`
+for each node, both modified in place
+
+`show_call` specifies whether to include `call` nodes in the graph.
+Including them represents the Julia AST more precisely, but adds visual noise.
+
+Returns the number of the top vertex.
+"""
+
+function walk_tree!(g, labels, ex, show_call=true)
+
+    top_vertex = add_numbered_vertex!(g)
+
+    where_start = 1  # which argument to start with
+
+    if !(show_call) && ex.head == :call
+        f = ex.args[1]   # the function name
+        push!(labels, f)
+
+        where_start = 2   # drop "call" from tree
+
+    else
+        push!(labels, ex.head)
+    end
+
+
+    for i in where_start:length(ex.args)
+
+        if isa(ex.args[i], Expr)
+
+            child = walk_tree!(g, labels, ex.args[i], show_call)
+            add_edge!(g, top_vertex, child)
+
+        else
+            n = add_numbered_vertex!(g)
+            add_edge!(g, top_vertex, n)
+
+            push!(labels, ex.args[i])
+
+        end
+    end
+
+    return top_vertex
+
+end
+
+function walk_tree(ex::Expr, show_call=false)
+    g = DiGraph()
+    labels = Any[]
+
+    walk_tree!(g, labels, ex, show_call)
+
+    return LabelledTree(g, labels)
+
+end
+
+"""
+Make a tree from a Julia `Expr`ession.
+Omits `call`.
+"""
+macro tree(ex::Expr)
+    walk_tree(ex)
+end
+
+"""
+Make a tree from a Julia `Expr`ession.
+Includes `call`.
+"""
+macro tree_with_call(ex::Expr)
+    walk_tree(ex, true)
+end