Fix complex sparse cache dispatches

Fixes #614

Author: ChrisRackauckas

ext/LinearSolveSparseArraysExt.jl

@@ -88,27 +88,44 @@ function LinearSolve.init_cacheval(
 end
 
 function LinearSolve.init_cacheval(
-        alg::Union{LUFactorization, GenericLUFactorization}, A::AbstractSparseArray{Float64, Int32}, b, u,
+        alg::Union{LUFactorization, GenericLUFactorization}, A::AbstractSparseArray{T, Int64}, b, u,
         Pl, Pr,
         maxiters::Int, abstol, reltol,
-        verbose::Bool, assumptions::OperatorAssumptions)
-    SparseArrays.UMFPACK.UmfpackLU(SparseMatrixCSC{Float64, Int32}(0, 0, [Int32(1)], Int32[], Float64[]))
+        verbose::Bool, assumptions::OperatorAssumptions) where {T<:BLASELTYPES}
+    SparseArrays.UMFPACK.UmfpackLU(SparseMatrixCSC{T, Int64}(zero(Int64), zero(Int64), [Int64(1)], Int64[], T[]))
+end
+
+function LinearSolve.init_cacheval(
+        alg::Union{LUFactorization, GenericLUFactorization}, A::AbstractSparseArray{T, Int32}, b, u,
+        Pl, Pr,
+        maxiters::Int, abstol, reltol,
+        verbose::Bool, assumptions::OperatorAssumptions) where {T<:BLASELTYPES}
+    SparseArrays.UMFPACK.UmfpackLU(SparseMatrixCSC{T, Int32}(zero(Int32), zero(Int32), [Int32(1)], Int32[], T[]))
 end
 
 function LinearSolve.init_cacheval(
         alg::UMFPACKFactorization, A::AbstractSparseArray{Float64, Int}, b, u, Pl, Pr,
         maxiters::Int, abstol,
         reltol,
         verbose::Bool, assumptions::OperatorAssumptions)
+    
     PREALLOCATED_UMFPACK
 end
 
 function LinearSolve.init_cacheval(
-        alg::UMFPACKFactorization, A::AbstractSparseArray{Float64, Int32}, b, u,
+        alg::UMFPACKFactorization, A::AbstractSparseArray{T, Int64}, b, u,
         Pl, Pr,
         maxiters::Int, abstol, reltol,
-        verbose::Bool, assumptions::OperatorAssumptions)
-    SparseArrays.UMFPACK.UmfpackLU(SparseMatrixCSC{Float64, Int32}(0, 0, [Int32(1)], Int32[], Float64[]))
+        verbose::Bool, assumptions::OperatorAssumptions) where {T<:BLASELTYPES}
+    SparseArrays.UMFPACK.UmfpackLU(SparseMatrixCSC{T, Int64}(zero(Int64), zero(Int64), [Int64(1)], Int64[], T[]))
+end
+
+function LinearSolve.init_cacheval(
+        alg::UMFPACKFactorization, A::AbstractSparseArray{T, Int32}, b, u,
+        Pl, Pr,
+        maxiters::Int, abstol, reltol,
+        verbose::Bool, assumptions::OperatorAssumptions) where {T<:BLASELTYPES}
+    SparseArrays.UMFPACK.UmfpackLU(SparseMatrixCSC{T, Int32}(zero(Int32), zero(Int32), [Int32(1)], Int32[], T[]))
 end
 
 function SciMLBase.solve!(
@@ -211,14 +228,23 @@ end
 const PREALLOCATED_CHOLMOD = cholesky(SparseMatrixCSC(0, 0, [1], Int[], Float64[]))
 
 function LinearSolve.init_cacheval(alg::CHOLMODFactorization,
-        A::Union{SparseMatrixCSC{T, Int}, Symmetric{T, SparseMatrixCSC{T, Int}}}, b, u,
+        A::Symmetric{T, SparseMatrixCSC{T, Int}}, b, u,
         Pl, Pr,
         maxiters::Int, abstol, reltol,
         verbose::Bool, assumptions::OperatorAssumptions) where {T <:
                                                                 BLASELTYPES}
     PREALLOCATED_CHOLMOD
 end
 
+function LinearSolve.init_cacheval(alg::CHOLMODFactorization,
+        A::SparseMatrixCSC{T, Int}, b, u,
+        Pl, Pr,
+        maxiters::Int, abstol, reltol,
+        verbose::Bool, assumptions::OperatorAssumptions) where {T <:
+                                                                BLASELTYPES}
+    nothing
+end
+
 function LinearSolve.init_cacheval(alg::NormalCholeskyFactorization,
         A::Union{AbstractSparseArray{T}, LinearSolve.GPUArraysCore.AnyGPUArray,
             Symmetric{T, <:AbstractSparseArray{T}}}, b, u, Pl, Pr,

test/sparse_vector.jl

@@ -46,3 +46,10 @@ H = hess_mat' * hess_mat
 prob = LinearProblem(H, hess_mat' * grad_vec)
 linsolve = init(prob, CholeskyFactorization())
 VERSION >= v"1.8" && @test solve!(linsolve).u ≈ H \ Array(hess_mat' * grad_vec)
+
+# https://github.com/SciML/LinearSolve.jl/issues/614
+A = sprand(ComplexF64, 10, 10, 0.5)
+b = rand(ComplexF64, 10)
+
+cache = init(LinearProblem(A, b, UMFPACKFactorization()))
+sol = solve!(cache)