bugfix in compile and add merge_multi_product

src/FeynmanDiagram.jl

@@ -117,8 +117,8 @@ export linear_combination, feynman_diagram, propagator, interaction, external_ve
 # export 𝐺ᶠ, 𝐺ᵇ, 𝐺ᵠ, 𝑊, Green2, Interaction
 # export Coupling_yukawa, Coupling_phi3, Coupling_phi4, Coupling_phi6
 export haschildren, onechild, isleaf, isbranch, ischain, isfactorless, eldest
-export relabel!, standardize_labels!, replace_subgraph!, merge_linear_combination!, merge_chains!
-export relabel, standardize_labels, replace_subgraph, merge_linear_combination, merge_chains
+export relabel!, standardize_labels!, replace_subgraph!, merge_linear_combination!, merge_multi_product!, merge_chains!
+export relabel, standardize_labels, replace_subgraph, merge_linear_combination, merge_multi_product, merge_chains
 
 export optimize!, optimize, merge_all_chains!, merge_all_linear_combinations!, remove_duplicated_leaves!
 

src/backend/static.jl

@@ -63,10 +63,11 @@ function to_julia_str(graphs::AbstractVector{G}; root::AbstractVector{Int}=[g.id
     inds_visitednode = Int[]
     for graph in graphs
         for g in PostOrderDFS(graph) #leaf first search
+            target = "g$(g.id)"
+            isroot = false
             if g.id in root
-                target = "root[$(findfirst(x -> x == g.id, root))]"
-            else
-                target = "g$(g.id)"
+                target_root = "root[$(findfirst(x -> x == g.id, root))]"
+                isroot = true
             end
             if isempty(g.subgraphs) #leaf
                 g.id in inds_visitedleaf && continue
@@ -80,6 +81,9 @@ function to_julia_str(graphs::AbstractVector{G}; root::AbstractVector{Int}=[g.id
                 body *= "    $target = $(_to_static(g.operator, g.subgraphs, g.subgraph_factors))$factor_str\n "
                 push!(inds_visitednode, g.id)
             end
+            if isroot
+                body *= "    $target_root = $target\n "
+            end
         end
     end
     tail = "end"
@@ -107,10 +111,11 @@ function to_julia_str(graphs::AbstractVector{G}, leafMap::Dict{Int,Int}; root::A
     inds_visitednode = Int[]
     for graph in graphs
         for g in PostOrderDFS(graph) #leaf first search
+            target = "g$(g.id)"
+            isroot = false
             if g.id in root
-                target = "root[$(findfirst(x -> x == g.id, root))]"
-            else
-                target = "g$(g.id)"
+                target_root = "root[$(findfirst(x -> x == g.id, root))]"
+                isroot = true
             end
             if isempty(g.subgraphs) #leaf
                 g.id in inds_visitedleaf && continue
@@ -123,6 +128,9 @@ function to_julia_str(graphs::AbstractVector{G}, leafMap::Dict{Int,Int}; root::A
                 body *= "    $target = $(_to_static(g.operator, g.subgraphs, g.subgraph_factors))$factor_str\n "
                 push!(inds_visitednode, g.id)
             end
+            if isroot
+                body *= "    $target_root = $target\n "
+            end
         end
     end
     tail = "end"

src/computational_graph/ComputationalGraph.jl

@@ -45,8 +45,8 @@ include("eval.jl")
 export eval!
 
 include("transform.jl")
-export relabel!, standardize_labels!, replace_subgraph!, merge_linear_combination!, merge_chains!
-export relabel, standardize_labels, replace_subgraph, merge_linear_combination, merge_chains
+export relabel!, standardize_labels!, replace_subgraph!, merge_linear_combination!, merge_multi_product!, merge_chains!
+export relabel, standardize_labels, replace_subgraph, merge_linear_combination, merge_multi_product, merge_chains
 
 include("optimize.jl")
 export optimize!, optimize

src/computational_graph/optimize.jl

@@ -226,6 +226,53 @@ function merge_all_linear_combinations!(graphs::Union{Tuple,AbstractVector{G}};
     return graphs
 end
 
+"""
+    function merge_all_multi_products!(g::Graph; verbose=0)
+
+    In-place merge all nodes representing a multi product of a non-unique list of subgraphs within a single graph.
+
+# Arguments:
+- `g::Graph`: A Graph.
+- `verbose`: Level of verbosity (default: 0).
+
+# Returns:
+- Optimized graph.
+# 
+"""
+function merge_all_multi_products!(g::Graph; verbose=0)
+    verbose > 0 && println("merge nodes representing a multi product of a non-unique list of graphs.")
+    # Post-order DFS
+    for sub_g in g.subgraphs
+        merge_all_multi_products!(sub_g)
+        merge_multi_product!(sub_g)
+    end
+    merge_multi_product!(g)
+    return g
+end
+
+"""
+    function merge_all_multi_products!(graphs::Union{Tuple,AbstractVector{Graph}}; verbose=0)
+
+    In-place merge all nodes representing a multi product of a non-unique list of subgraphs in given graphs. 
+
+# Arguments:
+- `graphs::Union{Tuple,AbstractVector{Graph}}`: A tuple or vector of graphs.
+- `verbose`: Level of verbosity (default: 0).
+
+# Returns:
+- Optimized graphs.
+# 
+"""
+function merge_all_multi_products!(graphs::Union{Tuple,AbstractVector{Graph}}; verbose=0)
+    verbose > 0 && println("merge nodes representing a multi product of a non-unique list of graphs.")
+    # Post-order DFS
+    for g in graphs
+        merge_all_multi_products!(g.subgraphs)
+        merge_multi_product!(g)
+    end
+    return graphs
+end
+
 """
     function unique_leaves(_graphs::Union{Tuple,AbstractVector{G}};) where {G<:AbstractGraph}
 

src/computational_graph/transform.jl

@@ -368,3 +368,63 @@ function merge_linear_combination!(g::FeynmanGraph{F,W}) where {F,W}
     end
     return g
 end
+
+"""
+    function merge_multi_product(g::Graph{F,W}) where {F,W}
+
+    Merge multiple products within a computational graph `g` if they share the same operator (`Prod`).
+    If `g.operator == Prod`, this function will merge `N` identical subgraphs into a single subgraph with a power operator `Power(N)`. 
+    The function ensures each unique subgraph is counted and merged appropriately, preserving any distinct subgraph_factors associated with them.
+
+# Arguments:
+- `g::Graph`: graph to be modified
+
+# Returns
+- A merged computational graph with potentially fewer subgraphs if there were repeating subgraphs 
+  with the `Prod` operator. If the input graph's operator isn't `Prod`, the function returns the input graph unchanged.
+"""
+function merge_multi_product(g::Graph{F,W}) where {F,W}
+    if g.operator == Prod
+        unique_graphs = Vector{Graph{F,W}}()
+        unique_factors = F[]
+        repeated_counts = Int[]
+        for (idx, subg) in enumerate(g.subgraphs)
+            loc = findfirst(isequal(subg), unique_graphs)
+            if isnothing(loc)
+                push!(unique_graphs, subg)
+                push!(unique_factors, g.subgraph_factors[idx])
+                push!(repeated_counts, 1)
+            else
+                unique_factors[loc] *= g.subgraph_factors[idx]
+                repeated_counts[loc] += 1
+            end
+        end
+
+        if length(unique_factors) == 1
+            g_merged = Graph(unique_graphs; subgraph_factors=unique_factors, operator=Power(repeated_counts[1]), ftype=F, wtype=W)
+        else
+            subgraphs = Vector{Graph{F,W}}()
+            for (idx, g) in enumerate(unique_graphs)
+                if repeated_counts[idx] == 1
+                    push!(subgraphs, g)
+                else
+                    push!(subgraphs, Graph([g], operator=Power(repeated_counts[idx]), ftype=F, wtype=W))
+                end
+            end
+            g_merged = Graph(subgraphs; subgraph_factors=unique_factors, operator=Prod(), ftype=F, wtype=W)
+        end
+        return g_merged
+    else
+        return g
+    end
+end
+
+function merge_multi_product!(g::Graph{F,W}) where {F,W}
+    if g.operator == Prod
+        g_merged = merge_multi_product(g)
+        g.subgraphs = g_merged.subgraphs
+        g.subgraph_factors = g_merged.subgraph_factors
+        g.operator = g_merged.operator
+    end
+    return g
+end

test/computational_graph.jl

@@ -198,6 +198,19 @@ Graphs.unary_istrivial(::Type{O}) where {O<:Union{O1,O2,O3}} = true
             @test h8.subgraph_factors == [36]
             @test isequiv(h7_lc, h8, :id)
         end
+        @testset "Merge multi prodict" begin
+            g1 = Graph([])
+            g2 = Graph([], factor=2)
+            g3 = Graph([], factor=3)
+            h1 = Graph([g1, g2, g1, g1, g3, g2]; subgraph_factors=[3, 2, 5, 1, 1, 3], operator=Graphs.Prod())
+            h1_mp = merge_multi_product(h1)
+            h1_s1 = Graph([g1], operator=Graphs.Power(3))
+            h1_s2 = Graph([g2], operator=Graphs.Power(2))
+            h1_r = Graph([h1_s1, h1_s2, g3], subgraph_factors=[15, 6, 1], operator=Graphs.Prod())
+            @test isequiv(h1_r, h1_mp, :id)
+            merge_multi_product!(h1)
+            @test isequiv(h1, h1_mp, :id)
+        end
     end
     @testset verbose = true "Optimizations" begin
         @testset "Remove one-child parents" begin