exponential!() broken for CuSparseMatrixCSC

[mcarmesin]

Describe the bug 🐞

Calculating the matrix exponential of a CUDA sparse matrix fails with trowing the exception
ArgumentError: Attempt to use a freed reference.
or
Error: Scalar Indexing is disallowed
when selecting ExpMethodGeneric()

Expected behavior

Calculation of the matrix exponential like exp(A)

Minimal Reproducible Example 👇

using ExponentialUtilities
using CUDA
using SparseArrays

A = cu(sprand(50,50,.01))

exponential!(A)
exponential!(A, ExpMethodGeneric())

Error & Stacktrace ⚠️

ERROR: ArgumentError: Attempt to use a freed reference.
Stacktrace:
[1] getindex
    @ ~/.julia/packages/GPUArrays/qt4ax/src/host/abstractarray.jl:70 [inlined]
  [2] unsafe_convert
    @ ~/.julia/packages/CUDA/2kjXI/src/array.jl:434 [inlined]
  [3] unsafe_convert(::Type{CuPtr{Nothing}}, a::CuArray{Int32, 1, CUDA.DeviceMemory})
    @ CUDA ~/.julia/packages/CUDA/2kjXI/src/pointer.jl:62
  [4] macro expansion
    @ ~/.julia/packages/CUDA/2kjXI/lib/utils/call.jl:211 [inlined]
  [5] macro expansion
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/libcusparse.jl:5274 [inlined]
  [6] #728
    @ ~/.julia/packages/CUDA/2kjXI/lib/utils/call.jl:35 [inlined]
  [7] retry_reclaim(f::CUDA.CUSPARSE.var"#728#729"{…}, retry_if::CUDA.CUSPARSE.var"#retry_if#1")
    @ CUDA ~/.julia/packages/CUDA/2kjXI/src/memory.jl:434
  [8] check
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/libcusparse.jl:24 [inlined]
  [9] cusparseCreateCsr
    @ ~/.julia/packages/CUDA/2kjXI/lib/utils/call.jl:34 [inlined]
 [10] CUDA.CUSPARSE.CuSparseMatrixDescriptor(A::CUDA.CUSPARSE.CuSparseMatrixCSR{…}, IndexBase::Char; transposed::Bool)
    @ CUDA.CUSPARSE ~/.julia/packages/CUDA/2kjXI/lib/cusparse/helpers.jl:189
 [11] CuSparseMatrixDescriptor
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/helpers.jl:179 [inlined]
 [12] gemm!(transa::Char, transb::Char, alpha::Bool, A::CUDA.CUSPARSE.CuSparseMatrixCSR{…}, B::CUDA.CUSPARSE.CuSparseMatrixCSR{…}, beta::Bool, C::CUDA.CUSPARSE.CuSparseMatrixCSR{…}, index::Char, algo::CUDA.CUSPARSE.cusparseSpGEMMAlg_t)
    @ CUDA.CUSPARSE ~/.julia/packages/CUDA/2kjXI/lib/cusparse/generic.jl:412
 [13] gemm!
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/generic.jl:490 [inlined]
 [14] gemm!
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/generic.jl:487 [inlined]
 [15] generic_matmatmul!(C::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, tA::Char, tB::Char, A::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, B::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, alpha::Bool, beta::Bool)
    @ CUDA.CUSPARSE ~/.julia/packages/CUDA/2kjXI/lib/cusparse/interfaces.jl:167
 [16] generic_matmatmul!
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/interfaces.jl:157 [inlined]
 [17] mul!
    @ /lustre/home/software/bwhpc/common/math/julia/1.10.5/share/julia/stdlib/v1.10/LinearAlgebra/src/matmul.jl:263 [inlined]
 [18] mul!
    @ /lustre/home/software/bwhpc/common/math/julia/1.10.5/share/julia/stdlib/v1.10/LinearAlgebra/src/matmul.jl:237 [inlined]
 [19] exp_gen!(cache::Vector{…}, A::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, ::Val{…})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_generated/exp_4.jl:21
 [20] exponential!(A::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, method::ExpMethodHigham2005, _cache::Tuple{…})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_noalloc.jl:101
 [21] exponential!
    @ ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_noalloc.jl:83 [inlined]
 [22] exponential!(A::CUDA.CUSPARSE.CuSparseMatrixCSC{Float32, Int32})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp.jl:15
 [23] top-level scope
    @ ~/CN/test_cu_sparse_exponentiation.jl:7
Some type information was truncated. Use `show(err)` to see complete types.[1] getindex
    @ ~/.julia/packages/GPUArrays/qt4ax/src/host/abstractarray.jl:70 [inlined]
  [2] unsafe_convert
    @ ~/.julia/packages/CUDA/2kjXI/src/array.jl:434 [inlined]
  [3] unsafe_convert(::Type{CuPtr{Nothing}}, a::CuArray{Int32, 1, CUDA.DeviceMemory})
    @ CUDA ~/.julia/packages/CUDA/2kjXI/src/pointer.jl:62
  [4] macro expansion
    @ ~/.julia/packages/CUDA/2kjXI/lib/utils/call.jl:211 [inlined]
  [5] macro expansion
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/libcusparse.jl:5274 [inlined]
  [6] #728
    @ ~/.julia/packages/CUDA/2kjXI/lib/utils/call.jl:35 [inlined]
  [7] retry_reclaim(f::CUDA.CUSPARSE.var"#728#729"{…}, retry_if::CUDA.CUSPARSE.var"#retry_if#1")
    @ CUDA ~/.julia/packages/CUDA/2kjXI/src/memory.jl:434
  [8] check
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/libcusparse.jl:24 [inlined]
  [9] cusparseCreateCsr
    @ ~/.julia/packages/CUDA/2kjXI/lib/utils/call.jl:34 [inlined]
 [10] CUDA.CUSPARSE.CuSparseMatrixDescriptor(A::CUDA.CUSPARSE.CuSparseMatrixCSR{…}, IndexBase::Char; transposed::Bool)
    @ CUDA.CUSPARSE ~/.julia/packages/CUDA/2kjXI/lib/cusparse/helpers.jl:189
 [11] CuSparseMatrixDescriptor
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/helpers.jl:179 [inlined]
 [12] gemm!(transa::Char, transb::Char, alpha::Bool, A::CUDA.CUSPARSE.CuSparseMatrixCSR{…}, B::CUDA.CUSPARSE.CuSparseMatrixCSR{…}, beta::Bool, C::CUDA.CUSPARSE.CuSparseMatrixCSR{…}, index::Char, algo::CUDA.CUSPARSE.cusparseSpGEMMAlg_t)
    @ CUDA.CUSPARSE ~/.julia/packages/CUDA/2kjXI/lib/cusparse/generic.jl:412
 [13] gemm!
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/generic.jl:490 [inlined]
 [14] gemm!
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/generic.jl:487 [inlined]
 [15] generic_matmatmul!(C::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, tA::Char, tB::Char, A::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, B::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, alpha::Bool, beta::Bool)
    @ CUDA.CUSPARSE ~/.julia/packages/CUDA/2kjXI/lib/cusparse/interfaces.jl:167
 [16] generic_matmatmul!
    @ ~/.julia/packages/CUDA/2kjXI/lib/cusparse/interfaces.jl:157 [inlined]
 [17] mul!
    @ /lustre/home/software/bwhpc/common/math/julia/1.10.5/share/julia/stdlib/v1.10/LinearAlgebra/src/matmul.jl:263 [inlined]
 [18] mul!
    @ /lustre/home/software/bwhpc/common/math/julia/1.10.5/share/julia/stdlib/v1.10/LinearAlgebra/src/matmul.jl:237 [inlined]
 [19] exp_gen!(cache::Vector{…}, A::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, ::Val{…})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_generated/exp_4.jl:21
 [20] exponential!(A::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, method::ExpMethodHigham2005, _cache::Tuple{…})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_noalloc.jl:101
 [21] exponential!
    @ ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_noalloc.jl:83 [inlined]
 [22] exponential!(A::CUDA.CUSPARSE.CuSparseMatrixCSC{Float32, Int32})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp.jl:15
 [23] top-level scope
    @ ~/CN/test_cu_sparse_exponentiation.jl:7
Some type information was truncated. Use `show(err)` to see complete types.

ERROR: Scalar indexing is disallowed.
Invocation of getindex resulted in scalar indexing of a GPU array.
This is typically caused by calling an iterating implementation of a method.
Such implementations *do not* execute on the GPU, but very slowly on the CPU,
and therefore should be avoided.

If you want to allow scalar iteration, use `allowscalar` or `@allowscalar`
to enable scalar iteration globally or for the operations in question.
Stacktrace:
  [1] error(s::String)
    @ Base ./error.jl:35
  [2] errorscalar(op::String)
    @ GPUArraysCore ~/.julia/packages/GPUArraysCore/GMsgk/src/GPUArraysCore.jl:155
  [3] _assertscalar(op::String, behavior::GPUArraysCore.ScalarIndexing)
    @ GPUArraysCore ~/.julia/packages/GPUArraysCore/GMsgk/src/GPUArraysCore.jl:128
  [4] assertscalar(op::String)
    @ GPUArraysCore ~/.julia/packages/GPUArraysCore/GMsgk/src/GPUArraysCore.jl:116
  [5] getindex(A::CuArray{Int32, 1, CUDA.DeviceMemory}, I::Int64)
    @ GPUArrays ~/.julia/packages/GPUArrays/qt4ax/src/host/indexing.jl:50
  [6] getindex(A::CUDA.CUSPARSE.CuSparseMatrixCSC{Float64, Int32}, i0::Int64, i1::Int64)
    @ CUDA.CUSPARSE ~/.julia/packages/CUDA/2kjXI/lib/cusparse/array.jl:387
  [7] _getindex
    @ ./abstractarray.jl:1341 [inlined]
  [8] getindex
    @ ./abstractarray.jl:1291 [inlined]
  [9] exp_generic_core!(y1::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, y2::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, y3::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, x::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, ::Val{…})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_generic.jl:192
 [10] exp_generic!(y1::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, y2::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, y3::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, x::CUDA.CUSPARSE.CuSparseMatrixCSC{…}, s::Int64, ::Val{…})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_generic.jl:170
 [11] exp_generic_mutable
    @ ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_generic.jl:166 [inlined]
 [12] exponential!(x::CUDA.CUSPARSE.CuSparseMatrixCSC{Float32, Int32}, method::ExpMethodGeneric{Val{13}()}, cache::Nothing)
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_generic.jl:136
 [13] exponential!(x::CUDA.CUSPARSE.CuSparseMatrixCSC{Float32, Int32}, method::ExpMethodGeneric{Val{13}()})
    @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_generic.jl:128
 [14] top-level scope
    @ ~/CN/test_cu_sparse_exponentiation.jl:9
Some type information was truncated. Use `show(err)` to see complete types.

Environment (please complete the following information):

• Output of using Pkg; Pkg.status()

 [47edcb42] ADTypes v1.9.0
  [79e6a3ab] Adapt v4.1.1
  [7d9fca2a] Arpack v0.5.4
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  [052768ef] CUDA v5.5.2
  [071ae1c0] DiffEqGPU v3.4.1
⌃ [0c46a032] DifferentialEquations v7.13.0
  [5b8099bc] DomainSets v0.7.14
  [d4d017d3] ExponentialUtilities v1.26.1
⌃ [f6369f11] ForwardDiff v0.10.37
⌅ [46192b85] GPUArraysCore v0.1.6
  [40713840] IncompleteLU v0.2.1
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  [7ed4a6bd] LinearSolve v2.36.2
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⌃ [961ee093] ModelingToolkit v9.49.0
⌃ [1dea7af3] OrdinaryDiffEq v6.80.1
  [94395366] ParallelStencil v0.13.6
  [f0f68f2c] PlotlyJS v0.18.15
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⌃ [0bca4576] SciMLBase v2.58.1
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  [9f842d2f] SparseConnectivityTracer v0.6.8
⌃ [0c5d862f] Symbolics v6.17.0
  [2f01184e] SparseArrays v1.10.0

• Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)

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  [1d0040c9] PolyesterWeave v0.2.2
  [2dfb63ee] PooledArrays v1.4.3
  [85a6dd25] PositiveFactorizations v0.2.4
  [d236fae5] PreallocationTools v0.4.24
  [aea7be01] PrecompileTools v1.2.1
  [21216c6a] Preferences v1.4.3
  [08abe8d2] PrettyTables v2.4.0
  [27ebfcd6] Primes v0.5.6
  [33c8b6b6] ProgressLogging v0.1.4
  [43287f4e] PtrArrays v1.2.1
  [1fd47b50] QuadGK v2.11.1
  [74087812] Random123 v1.7.0
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  [c84ed2f1] Ratios v0.4.5
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
⌃ [731186ca] RecursiveArrayTools v3.27.2
  [f2c3362d] RecursiveFactorization v0.2.23
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.0
  [ae5879a3] ResettableStacks v1.1.1
  [295af30f] Revise v3.6.2
  [79098fc4] Rmath v0.8.0
  [7e49a35a] RuntimeGeneratedFunctions v0.5.13
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.43
⌃ [0bca4576] SciMLBase v2.58.1
⌃ [19f34311] SciMLJacobianOperators v0.1.0
  [c0aeaf25] SciMLOperators v0.3.12
  [53ae85a6] SciMLStructures v1.5.0
  [6c6a2e73] Scratch v1.2.1
⌃ [91c51154] SentinelArrays v1.4.6
  [efcf1570] Setfield v1.1.1
  [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.2.0
  [05bca326] SimpleDiffEq v1.11.1
⌅ [727e6d20] SimpleNonlinearSolve v1.12.3
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [a2af1166] SortingAlgorithms v1.2.1
  [9f842d2f] SparseConnectivityTracer v0.6.8
  [47a9eef4] SparseDiffTools v2.23.0
⌃ [0a514795] SparseMatrixColorings v0.4.8
  [e56a9233] Sparspak v0.3.9
  [276daf66] SpecialFunctions v2.4.0
  [860ef19b] StableRNGs v1.0.2
  [aedffcd0] Static v1.1.1
  [0d7ed370] StaticArrayInterface v1.8.0
  [90137ffa] StaticArrays v1.9.8
  [1e83bf80] StaticArraysCore v1.4.3
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.3
  [4c63d2b9] StatsFuns v1.3.2
  [9672c7b4] SteadyStateDiffEq v2.4.1
⌃ [789caeaf] StochasticDiffEq v6.65.1
  [7792a7ef] StrideArraysCore v0.5.7
  [892a3eda] StringManipulation v0.4.0
⌃ [c3572dad] Sundials v4.26.0
  [2efcf032] SymbolicIndexingInterface v0.3.34
  [19f23fe9] SymbolicLimits v0.2.2
  [d1185830] SymbolicUtils v3.7.2
⌃ [0c5d862f] Symbolics v6.17.0
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.12.0
  [62fd8b95] TensorCore v0.1.1
  [8ea1fca8] TermInterface v2.0.0
  [1c621080] TestItems v1.0.0
  [8290d209] ThreadingUtilities v0.5.2
  [a759f4b9] TimerOutputs v0.5.25
  [0796e94c] Tokenize v0.5.29
  [3bb67fe8] TranscodingStreams v0.11.3
  [d5829a12] TriangularSolve v0.2.1
  [410a4b4d] Tricks v0.1.9
  [781d530d] TruncatedStacktraces v1.4.0
  [5c2747f8] URIs v1.5.1
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [1986cc42] Unitful v1.21.0
  [45397f5d] UnitfulLatexify v1.6.4
  [a7c27f48] Unityper v0.1.6
  [013be700] UnsafeAtomics v0.2.1
  [d80eeb9a] UnsafeAtomicsLLVM v0.2.1
  [41fe7b60] Unzip v0.2.0
⌃ [3d5dd08c] VectorizationBase v0.21.70
  [19fa3120] VertexSafeGraphs v0.2.0
  [0f1e0344] WebIO v0.8.21
  [104b5d7c] WebSockets v1.6.0
  [cc8bc4a8] Widgets v0.6.6
  [efce3f68] WoodburyMatrices v1.0.0
  [700de1a5] ZygoteRules v0.2.5
⌅ [68821587] Arpack_jll v3.5.1+1
  [6e34b625] Bzip2_jll v1.0.8+2
  [4ee394cb] CUDA_Driver_jll v0.10.3+0
  [76a88914] CUDA_Runtime_jll v0.15.3+0
  [83423d85] Cairo_jll v1.18.2+1
  [ee1fde0b] Dbus_jll v1.14.10+0
  [2702e6a9] EpollShim_jll v0.0.20230411+0
  [2e619515] Expat_jll v2.6.2+0
⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
  [a3f928ae] Fontconfig_jll v2.13.96+0
  [d7e528f0] FreeType2_jll v2.13.2+0
  [559328eb] FriBidi_jll v1.0.14+0
  [0656b61e] GLFW_jll v3.4.0+1
  [d2c73de3] GR_jll v0.73.8+0
  [78b55507] Gettext_jll v0.21.0+0
  [7746bdde] Glib_jll v2.80.5+0
  [3b182d85] Graphite2_jll v1.3.14+0
  [2e76f6c2] HarfBuzz_jll v8.3.1+0
  [1d5cc7b8] IntelOpenMP_jll v2024.2.1+0
  [aacddb02] JpegTurbo_jll v3.0.4+0
  [9c1d0b0a] JuliaNVTXCallbacks_jll v0.2.1+0
  [f7e6163d] Kaleido_jll v0.2.1+0
  [c1c5ebd0] LAME_jll v3.100.2+0
  [88015f11] LERC_jll v4.0.0+0
  [dad2f222] LLVMExtra_jll v0.0.34+0
  [1d63c593] LLVMOpenMP_jll v18.1.7+0
  [dd4b983a] LZO_jll v2.10.2+1
⌅ [e9f186c6] Libffi_jll v3.2.2+1
  [d4300ac3] Libgcrypt_jll v1.11.0+0
  [7e76a0d4] Libglvnd_jll v1.6.0+0
  [7add5ba3] Libgpg_error_jll v1.50.0+0
  [94ce4f54] Libiconv_jll v1.17.0+1
  [4b2f31a3] Libmount_jll v2.40.1+0
  [89763e89] Libtiff_jll v4.7.0+0
  [38a345b3] Libuuid_jll v2.40.1+0
  [856f044c] MKL_jll v2024.2.0+0
  [e98f9f5b] NVTX_jll v3.1.0+2
  [e7412a2a] Ogg_jll v1.3.5+1
  [458c3c95] OpenSSL_jll v3.0.15+1
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [91d4177d] Opus_jll v1.3.3+0
  [36c8627f] Pango_jll v1.54.1+0
  [30392449] Pixman_jll v0.43.4+0
  [c0090381] Qt6Base_jll v6.7.1+1
  [629bc702] Qt6Declarative_jll v6.7.1+2
  [ce943373] Qt6ShaderTools_jll v6.7.1+1
  [e99dba38] Qt6Wayland_jll v6.7.1+1
  [f50d1b31] Rmath_jll v0.5.1+0
⌅ [fb77eaff] Sundials_jll v5.2.2+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.21.0+1
  [2381bf8a] Wayland_protocols_jll v1.31.0+0
  [02c8fc9c] XML2_jll v2.13.4+0
  [aed1982a] XSLT_jll v1.1.41+0
  [ffd25f8a] XZ_jll v5.6.3+0
  [f67eecfb] Xorg_libICE_jll v1.1.1+0
  [c834827a] Xorg_libSM_jll v1.2.4+0
  [4f6342f7] Xorg_libX11_jll v1.8.6+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.11+0
  [935fb764] Xorg_libXcursor_jll v1.2.0+4
  [a3789734] Xorg_libXdmcp_jll v1.1.4+0
  [1082639a] Xorg_libXext_jll v1.3.6+0
  [d091e8ba] Xorg_libXfixes_jll v5.0.3+4
  [a51aa0fd] Xorg_libXi_jll v1.7.10+4
  [d1454406] Xorg_libXinerama_jll v1.1.4+4
  [ec84b674] Xorg_libXrandr_jll v1.5.2+4
  [ea2f1a96] Xorg_libXrender_jll v0.9.11+0
  [14d82f49] Xorg_libpthread_stubs_jll v0.1.1+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.0+0
  [cc61e674] Xorg_libxkbfile_jll v1.1.2+0
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0
  [12413925] Xorg_xcb_util_image_jll v0.4.0+1
  [2def613f] Xorg_xcb_util_jll v0.4.0+1
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1
  [35661453] Xorg_xkbcomp_jll v1.4.6+0
  [33bec58e] Xorg_xkeyboard_config_jll v2.39.0+0
  [c5fb5394] Xorg_xtrans_jll v1.5.0+0
  [3161d3a3] Zstd_jll v1.5.6+1
  [1e29f10c] demumble_jll v1.3.0+0
  [35ca27e7] eudev_jll v3.2.9+0
  [214eeab7] fzf_jll v0.53.0+0
  [1a1c6b14] gperf_jll v3.1.1+0
  [a4ae2306] libaom_jll v3.9.0+0
  [0ac62f75] libass_jll v0.15.2+0
  [1183f4f0] libdecor_jll v0.2.2+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.3+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.44+0
  [f27f6e37] libvorbis_jll v1.3.7+2
  [009596ad] mtdev_jll v1.1.6+0
  [1317d2d5] oneTBB_jll v2021.12.0+0
⌅ [1270edf5] x264_jll v2021.5.5+0
⌅ [dfaa095f] x265_jll v3.5.0+0
  [d8fb68d0] xkbcommon_jll v1.4.1+1
  [0dad84c5] ArgTools v1.1.1
  [56f22d72] Artifacts
  [2a0f44e3] Base64
  [ade2ca70] Dates
  [8ba89e20] Distributed
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching
  [9fa8497b] Future
  [b77e0a4c] InteractiveUtils
  [4af54fe1] LazyArtifacts
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2
  [8f399da3] Libdl
  [37e2e46d] LinearAlgebra
  [56ddb016] Logging
  [d6f4376e] Markdown
  [a63ad114] Mmap
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.10.0
  [de0858da] Printf
  [9abbd945] Profile
  [3fa0cd96] REPL
  [9a3f8284] Random
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization
  [1a1011a3] SharedArrays
  [6462fe0b] Sockets
  [2f01184e] SparseArrays v1.10.0
  [10745b16] Statistics v1.10.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test
  [cf7118a7] UUIDs
  [4ec0a83e] Unicode
  [e66e0078] CompilerSupportLibraries_jll v1.1.1+0
  [deac9b47] LibCURL_jll v8.4.0+0
  [e37daf67] LibGit2_jll v1.6.4+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.2+1
  [14a3606d] MozillaCACerts_jll v2023.1.10
  [4536629a] OpenBLAS_jll v0.3.23+4
  [05823500] OpenLibm_jll v0.8.1+2
  [efcefdf7] PCRE2_jll v10.42.0+1
  [bea87d4a] SuiteSparse_jll v7.2.1+1
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.11.0+0
  [8e850ede] nghttp2_jll v1.52.0+1
  [3f19e933] p7zip_jll v17.4.0+2

• Output of versioninfo()

Julia Version 1.10.5
Commit 6f3fdf7b362 (2024-08-27 14:19 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 96 × Intel(R) Xeon(R) Gold 6252 CPU @ 2.10GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, cascadelake)
Threads: 48 default, 0 interactive, 24 GC (on 96 virtual cores)

[ChrisRackauckas]

I'm not 100% sure what the behavior you'd want here is. The matrix exponential of a sparse matrix is dense unless the matrix is diagonal. Diagonal GPU matrices would use Diagonal{CuArray}, so that wouldn't be this type. Which means that the result here is almost certainly dense. Should this just dispatch to exp(CuArray(A))? It seems having the user actually have to request that isn't the worst thing as a somewhat safety measure, since generally asking for a densifying operation on a sparse matrix is a bad idea.

What the user would almost certainly want to do instead here is exp(At)*v operations, which can be done sparsely. My understanding is that as long as A*v is supported in the array type, which it is here, then it should just work. So then erroring and having people use expv and phiv is the better option.

[mcarmesin]

I agree that densifying would be not a good solution for various reasons. Probably it would be best, to have exponential!() undefined for sparse matrices, like the base exp!(). Btw. exponential!() is also broken for SparseMatrixCSC():

ERROR: pointer_from_objref cannot be used on immutable objects
Stacktrace:
 [1] error(s::String)
   @ Base ./error.jl:35
 [2] pointer_from_objref
   @ ./pointer.jl:269 [inlined]
 [3] ldiv_for_generated!(C::SparseMatrixCSC{…}, A::SparseMatrixCSC{…}, B::SparseMatrixCSC{…})
   @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_noalloc.jl:32
 [4] exp_gen!(cache::Vector{SparseMatrixCSC{Float64, Int64}}, A::SparseMatrixCSC{Float64, Int64}, ::Val{4})
   @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_generated/exp_4.jl:63
 [5] exponential!(A::SparseMatrixCSC{Float64, Int64}, method::ExpMethodHigham2005, _cache::Tuple{Vector{…}, SparseVector{…}})
   @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_noalloc.jl:101
 [6] exponential!(A::SparseMatrixCSC{Float64, Int64}, method::ExpMethodHigham2005)
   @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp_noalloc.jl:83
 [7] exponential!(A::SparseMatrixCSC{Float64, Int64})
   @ ExponentialUtilities ~/.julia/packages/ExponentialUtilities/xLH9y/src/exp.jl:15
 [8] top-level scope
   @ ~/CN/test_cu_sparse_exponentiation.jl:10

[ChrisRackauckas]

Btw. exponential!() is also broken for SparseMatrixCSC():

Yeah we should probably just throw an error on <: AbstractSparseMatrix saying

exp(A) on a sparse matrix is generally dense. This operation is not allowed with exponential. If you wished to compute exp(At)*v, see expv. Otherwise to override this error, densify the matrix before calling, i.e. exponential(Matrix(A))