Smaller compiler refactoring (#240)

This setups the the compile code to be better refactored in the future.

ext/DecapodesCUDAExt.jl

@@ -1,5 +1,6 @@
 module DecapodesCUDAExt
 using CombinatorialSpaces
+import CombinatorialSpaces.DiscreteExteriorCalculus: DiscreteHodge
 using LinearAlgebra
 using Base.Iterators
 using Krylov
@@ -8,7 +9,7 @@ using CUDA.CUSPARSE
 using MLStyle
 import Decapodes: default_dec_cu_matrix_generate
 
-function default_dec_cu_matrix_generate(sd, my_symbol, hodge)
+function default_dec_cu_matrix_generate(sd::HasDeltaSet, my_symbol::Symbol, hodge::DiscreteHodge)
   op = @match my_symbol begin
 
     # Regular Hodge Stars
@@ -46,7 +47,7 @@ function default_dec_cu_matrix_generate(sd, my_symbol, hodge)
 end
 
 # TODO: Update this to better cast hodges
-function dec_cu_mat_hodge(k, sd::HasDeltaSet, hodge)
+function dec_cu_mat_hodge(k::Int, sd::HasDeltaSet, hodge::DiscreteHodge)
   hodge = dec_hodge_star(k, sd, hodge, Val{:CUDA})
   return (hodge, x -> hodge * x)
 end
@@ -61,7 +62,7 @@ function dec_cu_mat_hodge(::Type{Val{1}}, sd::HasDeltaSet, hodge::GeometricHodge
   return (hodge, x -> hodge * x)
 end
 
-function dec_cu_mat_inverse_hodge(k::Int, sd::HasDeltaSet, hodge)
+function dec_cu_mat_inverse_hodge(k::Int, sd::HasDeltaSet, hodge::DiscreteHodge)
   invhodge = dec_inv_hodge_star(k, sd, hodge, Val{:CUDA})
   return (invhodge, x -> invhodge * x)
 end

src/Decapodes.jl

@@ -7,8 +7,7 @@ using MLStyle
 
 export
 gensim, evalsim, compile, compile_env, default_dec_matrix_generate, default_dec_cu_matrix_generate, default_dec_generate,
-CPUTarget, CUDATarget
-
+CPUBackend, CUDABackend, CPUTarget, CUDATarget
 
 include("operators.jl")
 include("simulation.jl")

src/operators.jl

@@ -1,12 +1,13 @@
 using Base.Iterators
 using CombinatorialSpaces
+import CombinatorialSpaces.DiscreteExteriorCalculus: DiscreteHodge
 using Krylov
 using LinearAlgebra
 using SparseArrays
 
 function default_dec_cu_matrix_generate() end;
 
-function default_dec_matrix_generate(sd, my_symbol, hodge)
+function default_dec_matrix_generate(sd::HasDeltaSet, my_symbol::Symbol, hodge::DiscreteHodge)
   op = @match my_symbol begin
 
     # Regular Hodge Stars
@@ -72,12 +73,12 @@ function default_dec_matrix_generate(sd, my_symbol, hodge)
   return op
 end
 
-function dec_mat_hodge(k, sd::HasDeltaSet, hodge)
+function dec_mat_hodge(k::Int, sd::HasDeltaSet, hodge::DiscreteHodge)
   hodge = dec_hodge_star(k, sd, hodge=hodge)
   return (hodge, x -> hodge * x)
 end
 
-function dec_mat_inverse_hodge(k::Int, sd::HasDeltaSet, hodge)
+function dec_mat_inverse_hodge(k::Int, sd::HasDeltaSet, hodge::DiscreteHodge)
   invhodge = dec_inv_hodge_star(k, sd, hodge=hodge)
   return (invhodge, x -> invhodge * x)
 end
@@ -145,7 +146,7 @@ function dec_avg₀₁(sd::HasDeltaSet)
   (avg_mat, x -> avg_mat * x)
 end
 
-function default_dec_generate(sd, my_symbol, hodge=GeometricHodge())
+function default_dec_generate(sd::HasDeltaSet, my_symbol::Symbol, hodge::DiscreteHodge=GeometricHodge())
 
   op = @match my_symbol begin