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Calling solve! on cache built with tridiagonal matrix, mutates the matrix and ruins the cache.Β #825

@SanjeevKhare

Description

@SanjeevKhare

Describe the bug 🐞

Cache solve! on a problem with tridiagonal matrix, mutates the matrix and ruins the cache. Which defeats the entire purpose of the cache.

If A is built with SparseArray then it is not mutated.

Expected behavior

cache.A is not touched.

Minimal Reproducible Example πŸ‘‡

using LinearSolve as LS

Ny = 6
lower, diag, upper = ones(Ny-1), ones(Ny), ones(Ny-1)
A1 = Tridiagonal(lower, -2*diag, upper)
A2 = spdiagm(-1 => lower, 0 => -2*diag, 1 => upper)
b = rand(ComplexF64, Ny)
cache1 = LS.init(LinearProblem(A1, b));
cache2 = LS.init(LinearProblem(A2, b));

println("Tridiagonal Array before and after solve:")
display(cache1.A)
solve!(cache1);
display(cache1.A)

println("\n\nSparseArray before and after solve:")
display(cache2.A)
solve!(cache2);
display(cache2.A);

Error & Stacktrace ⚠️

Tridiagonal Array before and after solve:
6Γ—6 Tridiagonal{Float64, Vector{Float64}}:
 -2.0   1.0    β‹…     β‹…     β‹…     β‹… 
  1.0  -2.0   1.0    β‹…     β‹…     β‹… 
   β‹…    1.0  -2.0   1.0    β‹…     β‹… 
   β‹…     β‹…    1.0  -2.0   1.0    β‹… 
   β‹…     β‹…     β‹…    1.0  -2.0   1.0
   β‹…     β‹…     β‹…     β‹…    1.0  -2.0
6Γ—6 Tridiagonal{Float64, Vector{Float64}}:
 -2.0   1.0    β‹…         β‹…      β‹…     β‹… 
  0.0  -1.5   1.0        β‹…      β‹…     β‹… 
   β‹…    0.0  -1.33333   1.0     β‹…     β‹… 
   β‹…     β‹…    0.0      -1.25   1.0    β‹… 
   β‹…     β‹…     β‹…        0.0   -1.2   1.0
   β‹…     β‹…     β‹…         β‹…     1.0  -1.16667


SparseArray before and after solve:
6Γ—6 SparseMatrixCSC{Float64, Int64} with 16 stored entries:
 -2.0   1.0    β‹…     β‹…     β‹…     β‹… 
  1.0  -2.0   1.0    β‹…     β‹…     β‹… 
   β‹…    1.0  -2.0   1.0    β‹…     β‹… 
   β‹…     β‹…    1.0  -2.0   1.0    β‹… 
   β‹…     β‹…     β‹…    1.0  -2.0   1.0
   β‹…     β‹…     β‹…     β‹…    1.0  -2.0
6Γ—6 SparseMatrixCSC{Float64, Int64} with 16 stored entries:
 -2.0   1.0    β‹…     β‹…     β‹…     β‹… 
  1.0  -2.0   1.0    β‹…     β‹…     β‹… 
   β‹…    1.0  -2.0   1.0    β‹…     β‹… 
   β‹…     β‹…    1.0  -2.0   1.0    β‹… 
   β‹…     β‹…     β‹…    1.0  -2.0   1.0
   β‹…     β‹…     β‹…     β‹…    1.0  -2.0

Environment (please complete the following information):

  • Output of using Pkg; Pkg.status()
βŒƒ [47edcb42] ADTypes v1.18.0
  [2169fc97] AlgebraicMultigrid v1.1.0
  [7d9fca2a] Arpack v0.5.4
  [6e4b80f9] BenchmarkTools v1.6.3
βŒƒ [13f3f980] CairoMakie v0.13.10
  [8bb1440f] DelimitedFiles v1.9.1
  [459566f4] DiffEqCallbacks v4.10.1
  [f3b72e0c] DiffEqDevTools v2.48.0
  [0c46a032] DifferentialEquations v7.17.0
  [7a1cc6ca] FFTW v1.10.0
βŒƒ [f6369f11] ForwardDiff v1.2.2
βŒƒ [e9467ef8] GLMakie v0.11.11
  [42fd0dbc] IterativeSolvers v0.9.4
  [033835bb] JLD2 v0.6.2
  [ba0b0d4f] Krylov v0.10.2
  [45d422c2] KrylovPreconditioners v0.3.6
  [5c8ed15e] LinearOperators v2.11.0
βŒƒ [7ed4a6bd] LinearSolve v3.26.0
  [23992714] MAT v0.10.7
  [da04e1cc] MPI v0.20.23
βŒƒ [8913a72c] NonlinearSolve v4.10.0
βŒƒ [9a2c21bd] NonlinearSolveQuasiNewton v1.8.0
  [510215fc] Observables v0.5.5
  [6fe1bfb0] OffsetArrays v1.17.0
βŒƒ [1dea7af3] OrdinaryDiffEq v6.101.0
βŒƒ [6ad6398a] OrdinaryDiffEqBDF v1.9.0
βŒƒ [2d112036] OrdinaryDiffEqSDIRK v1.6.0
βŒƒ [f27b6e38] Polynomials v4.0.21
  [d236fae5] PreallocationTools v0.4.34
  [33c8b6b6] ProgressLogging v0.1.5
  [92933f4c] ProgressMeter v1.11.0
βŒƒ [295af30f] Revise v3.12.0
βŒ… [c0aeaf25] SciMLOperators v0.4.0
βŒƒ [9f842d2f] SparseConnectivityTracer v1.1.2
  [47a9eef4] SparseDiffTools v2.26.0
  [90137ffa] StaticArrays v1.9.15
βŒƒ [c3572dad] Sundials v4.28.0
βŒƒ [0c5d862f] Symbolics v6.57.0
  [de0858da] Printf v1.11.0
  • Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
βŒƒ [47edcb42] ADTypes v1.18.0
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  [a95523ee] AlmostBlockDiagonals v0.1.10
  [27a7e980] Animations v0.4.2
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  [7d9fca2a] Arpack v0.5.4
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  [4c555306] ArrayLayouts v1.12.0
  [a9b6321e] Atomix v1.1.2
  [67c07d97] Automa v1.1.0
  [13072b0f] AxisAlgorithms v1.1.0
  [39de3d68] AxisArrays v0.4.8
  [aae01518] BandedMatrices v1.10.1
  [18cc8868] BaseDirs v1.3.2
  [6e4b80f9] BenchmarkTools v1.6.3
  [e2ed5e7c] Bijections v0.2.2
  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
  [764a87c0] BoundaryValueDiffEq v5.18.0
  [7227322d] BoundaryValueDiffEqAscher v1.8.0
  [56b672f2] BoundaryValueDiffEqCore v1.11.1
  [85d9eb09] BoundaryValueDiffEqFIRK v1.9.0
  [1a22d4ce] BoundaryValueDiffEqMIRK v1.9.0
  [9255f1d6] BoundaryValueDiffEqMIRKN v1.8.0
  [ed55bfe0] BoundaryValueDiffEqShooting v1.9.0
βŒƒ [70df07ce] BracketingNonlinearSolve v1.3.0
  [e1450e63] BufferedStreams v1.2.2
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.7
  [96374032] CRlibm v1.0.2
  [159f3aea] Cairo v1.1.1
βŒƒ [13f3f980] CairoMakie v0.13.10
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βŒƒ [da1fd8a2] CodeTracking v2.0.1
  [944b1d66] CodecZlib v0.7.8
  [a2cac450] ColorBrewer v0.4.2
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  [5ae59095] Colors v0.13.1
βŒ… [861a8166] Combinatorics v1.0.2
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.18.1
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  [adafc99b] CpuId v0.3.1
  [9a962f9c] DataAPI v1.16.0
βŒ… [864edb3b] DataStructures v0.18.22
  [e2d170a0] DataValueInterfaces v1.0.0
βŒƒ [927a84f5] DelaunayTriangulation v1.6.4
βŒƒ [bcd4f6db] DelayDiffEq v5.59.0
  [8bb1440f] DelimitedFiles v1.9.1
βŒƒ [2b5f629d] DiffEqBase v6.176.0
  [459566f4] DiffEqCallbacks v4.10.1
  [f3b72e0c] DiffEqDevTools v2.48.0
  [77a26b50] DiffEqNoiseProcess v5.24.1
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [0c46a032] DifferentialEquations v7.17.0
βŒƒ [a0c0ee7d] DifferentiationInterface v0.7.10
  [b4f34e82] Distances v0.10.12
  [31c24e10] Distributions v0.25.122
  [ffbed154] DocStringExtensions v0.9.5
  [5b8099bc] DomainSets v0.7.16
βŒƒ [7c1d4256] DynamicPolynomials v0.6.3
  [4e289a0a] EnumX v1.0.5
βŒƒ [f151be2c] EnzymeCore v0.8.15
  [429591f6] ExactPredicates v2.2.9
  [d4d017d3] ExponentialUtilities v1.27.0
  [e2ba6199] ExprTools v0.1.10
  [55351af7] ExproniconLite v0.10.14
  [411431e0] Extents v0.1.6
  [7a1cc6ca] FFTW v1.10.0
  [9d29842c] FastAlmostBandedMatrices v0.1.5
  [7034ab61] FastBroadcast v0.3.5
  [9aa1b823] FastClosures v0.3.2
  [442a2c76] FastGaussQuadrature v1.1.0
  [a4df4552] FastPower v1.2.0
  [5789e2e9] FileIO v1.17.1
βŒ… [8fc22ac5] FilePaths v0.8.3
  [48062228] FilePathsBase v0.9.24
βŒƒ [1a297f60] FillArrays v1.14.0
  [6a86dc24] FiniteDiff v2.29.0
  [53c48c17] FixedPointNumbers v0.8.5
  [1fa38f19] Format v1.3.7
βŒƒ [f6369f11] ForwardDiff v1.2.2
  [b38be410] FreeType v4.1.1
  [663a7486] FreeTypeAbstraction v0.10.8
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [f7f18e0c] GLFW v3.4.5
βŒƒ [e9467ef8] GLMakie v0.11.11
  [46192b85] GPUArraysCore v0.2.0
  [c145ed77] GenericSchur v0.5.6
  [5c1252a2] GeometryBasics v0.5.10
  [a2bd30eb] Graphics v1.1.3
  [86223c79] Graphs v1.13.1
  [3955a311] GridLayoutBase v0.11.2
  [42e2da0e] Grisu v1.0.2
  [f67ccb44] HDF5 v0.17.2
  [076d061b] HashArrayMappedTries v0.2.0
  [34004b35] HypergeometricFunctions v0.3.28
  [615f187c] IfElse v0.1.1
  [2803e5a7] ImageAxes v0.6.12
  [c817782e] ImageBase v0.1.7
  [a09fc81d] ImageCore v0.10.5
  [82e4d734] ImageIO v0.6.9
  [bc367c6b] ImageMetadata v0.9.10
  [9b13fd28] IndirectArrays v1.0.0
  [d25df0c9] Inflate v0.1.5
  [18e54dd8] IntegerMathUtils v0.1.3
βŒ… [a98d9a8b] Interpolations v0.15.1
βŒƒ [d1acc4aa] IntervalArithmetic v1.0.1
βŒƒ [8197267c] IntervalSets v0.7.11
  [3587e190] InverseFunctions v0.1.17
  [92d709cd] IrrationalConstants v0.2.6
  [f1662d9f] Isoband v0.1.1
  [c8e1da08] IterTools v1.10.0
  [42fd0dbc] IterativeSolvers v0.9.4
  [82899510] IteratorInterfaceExtensions v1.0.0
  [033835bb] JLD2 v0.6.2
  [692b3bcd] JLLWrappers v1.7.1
βŒƒ [682c06a0] JSON v1.2.0
  [ae98c720] Jieko v0.2.1
  [b835a17e] JpegTurbo v0.1.6
βŒƒ [aa1ae85d] JuliaInterpreter v0.10.6
βŒƒ [ccbc3e58] JumpProcesses v9.16.1
βŒƒ [63c18a36] KernelAbstractions v0.9.38
  [5ab0869b] KernelDensity v0.6.10
  [ba0b0d4f] Krylov v0.10.2
  [45d422c2] KrylovPreconditioners v0.3.6
  [b964fa9f] LaTeXStrings v1.4.0
  [23fbe1c1] Latexify v0.16.10
  [10f19ff3] LayoutPointers v0.1.17
βŒƒ [5078a376] LazyArrays v2.8.0
  [8cdb02fc] LazyModules v0.3.1
  [2d8b4e74] LevyArea v1.0.0
  [87fe0de2] LineSearch v0.1.4
  [d3d80556] LineSearches v7.4.0
  [5c8ed15e] LinearOperators v2.11.0
βŒƒ [7ed4a6bd] LinearSolve v3.26.0
  [2ab3a3ac] LogExpFunctions v0.3.29
  [6f1432cf] LoweredCodeUtils v3.4.4
  [23992714] MAT v0.10.7
  [da04e1cc] MPI v0.20.23
  [3da0fdf6] MPIPreferences v0.1.11
  [1914dd2f] MacroTools v0.5.16
βŒ… [ee78f7c6] Makie v0.22.10
βŒ… [20f20a25] MakieCore v0.9.5
  [d125e4d3] ManualMemory v0.1.8
  [dbb5928d] MappedArrays v0.4.2
βŒƒ [0a4f8689] MathTeXEngine v0.6.6
  [a3b82374] MatrixFactorizations v3.1.3
  [bb5d69b7] MaybeInplace v0.1.4
  [7269a6da] MeshIO v0.5.3
  [2679e427] Metis v1.5.0
  [e1d29d7a] Missings v1.2.0
  [66fc600b] ModernGL v1.1.8
  [e94cdb99] MosaicViews v0.3.4
  [2e0e35c7] Moshi v0.3.7
  [46d2c3a1] MuladdMacro v0.2.4
βŒƒ [102ac46a] MultivariatePolynomials v0.5.9
  [d8a4904e] MutableArithmetics v1.6.7
  [d41bc354] NLSolversBase v7.10.0
  [2774e3e8] NLsolve v4.5.1
  [77ba4419] NaNMath v1.1.3
  [f09324ee] Netpbm v1.1.1
βŒƒ [8913a72c] NonlinearSolve v4.10.0
βŒ… [be0214bd] NonlinearSolveBase v1.14.0
βŒƒ [5959db7a] NonlinearSolveFirstOrder v1.7.0
βŒƒ [9a2c21bd] NonlinearSolveQuasiNewton v1.8.0
βŒƒ [26075421] NonlinearSolveSpectralMethods v1.3.0
  [510215fc] Observables v0.5.5
  [6fe1bfb0] OffsetArrays v1.17.0
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  [429524aa] Optim v1.13.2
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βŒƒ [1dea7af3] OrdinaryDiffEq v6.101.0
βŒƒ [89bda076] OrdinaryDiffEqAdamsBashforthMoulton v1.4.0
βŒƒ [6ad6398a] OrdinaryDiffEqBDF v1.9.0
βŒƒ [bbf590c4] OrdinaryDiffEqCore v1.26.2
βŒƒ [50262376] OrdinaryDiffEqDefault v1.7.0
βŒƒ [4302a76b] OrdinaryDiffEqDifferentiation v1.11.0
βŒƒ [9286f039] OrdinaryDiffEqExplicitRK v1.3.0
βŒƒ [e0540318] OrdinaryDiffEqExponentialRK v1.7.0
βŒƒ [becaefa8] OrdinaryDiffEqExtrapolation v1.7.0
βŒƒ [5960d6e9] OrdinaryDiffEqFIRK v1.14.0
βŒƒ [101fe9f7] OrdinaryDiffEqFeagin v1.3.0
βŒƒ [d3585ca7] OrdinaryDiffEqFunctionMap v1.4.0
βŒƒ [d28bc4f8] OrdinaryDiffEqHighOrderRK v1.4.0
βŒƒ [9f002381] OrdinaryDiffEqIMEXMultistep v1.6.0
βŒƒ [521117fe] OrdinaryDiffEqLinear v1.4.0
βŒƒ [1344f307] OrdinaryDiffEqLowOrderRK v1.5.0
βŒƒ [b0944070] OrdinaryDiffEqLowStorageRK v1.5.0
βŒƒ [127b3ac7] OrdinaryDiffEqNonlinearSolve v1.12.0
βŒƒ [c9986a66] OrdinaryDiffEqNordsieck v1.3.0
βŒƒ [5dd0a6cf] OrdinaryDiffEqPDIRK v1.5.0
βŒƒ [5b33eab2] OrdinaryDiffEqPRK v1.3.0
βŒƒ [04162be5] OrdinaryDiffEqQPRK v1.3.0
βŒƒ [af6ede74] OrdinaryDiffEqRKN v1.4.0
βŒƒ [43230ef6] OrdinaryDiffEqRosenbrock v1.14.0
βŒƒ [2d112036] OrdinaryDiffEqSDIRK v1.6.0
βŒƒ [669c94d9] OrdinaryDiffEqSSPRK v1.5.0
βŒƒ [e3e12d00] OrdinaryDiffEqStabilizedIRK v1.5.0
  [358294b1] OrdinaryDiffEqStabilizedRK v1.4.0
βŒƒ [fa646aed] OrdinaryDiffEqSymplecticRK v1.6.0
βŒƒ [b1df2697] OrdinaryDiffEqTsit5 v1.4.0
βŒƒ [79d7bb75] OrdinaryDiffEqVerner v1.5.0
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βŒƒ [995b91a9] PlotUtils v1.4.3
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βŒ… [c0aeaf25] SciMLOperators v0.4.0
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βŒƒ [727e6d20] SimpleNonlinearSolve v2.7.0
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βŒƒ [9f842d2f] SparseConnectivityTracer v1.1.2
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βŒƒ [2913bbd2] StatsBase v0.34.7
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βŒƒ [9672c7b4] SteadyStateDiffEq v2.6.0
βŒƒ [789caeaf] StochasticDiffEq v6.81.0
  [7792a7ef] StrideArraysCore v0.5.8
  [09ab397b] StructArrays v0.7.2
βŒƒ [ec057cc2] StructUtils v2.5.1
βŒƒ [c3572dad] Sundials v4.28.0
  [2efcf032] SymbolicIndexingInterface v0.3.46
βŒƒ [19f23fe9] SymbolicLimits v0.2.3
βŒ… [d1185830] SymbolicUtils v3.32.0
βŒƒ [0c5d862f] Symbolics v6.57.0
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.12.1
  [ed4db957] TaskLocalValues v0.1.3
  [62fd8b95] TensorCore v0.1.1
  [8ea1fca8] TermInterface v2.0.0
  [8290d209] ThreadingUtilities v0.5.5
  [731e570b] TiffImages v0.11.6
  [a759f4b9] TimerOutputs v0.5.29
  [3bb67fe8] TranscodingStreams v0.11.3
  [981d1d27] TriplotBase v0.1.0
  [781d530d] TruncatedStacktraces v1.4.0
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [1986cc42] Unitful v1.25.1
  [a7c27f48] Unityper v0.1.6
  [013be700] UnsafeAtomics v0.3.0
  [19fa3120] VertexSafeGraphs v0.2.0
  [e3aaa7dc] WebP v0.1.3
  [efce3f68] WoodburyMatrices v1.0.0
βŒ… [68821587] Arpack_jll v3.5.1+1
  [6e34b625] Bzip2_jll v1.0.9+0
  [4e9b3aee] CRlibm_jll v1.0.1+0
  [83423d85] Cairo_jll v1.18.5+0
  [ee1fde0b] Dbus_jll v1.16.2+0
  [5ae413db] EarCut_jll v2.2.4+0
  [2702e6a9] EpollShim_jll v0.0.20230411+1
  [2e619515] Expat_jll v2.7.3+0
βŒ… [b22a6f82] FFMPEG_jll v6.1.3+0
  [f5851436] FFTW_jll v3.3.11+0
  [a3f928ae] Fontconfig_jll v2.17.1+0
  [d7e528f0] FreeType2_jll v2.13.4+0
  [559328eb] FriBidi_jll v1.0.17+0
  [0656b61e] GLFW_jll v3.4.0+2
  [b0724c58] GettextRuntime_jll v0.22.4+0
  [61579ee1] Ghostscript_jll v9.55.1+0
  [59f7168a] Giflib_jll v5.2.3+0
  [7746bdde] Glib_jll v2.86.0+0
  [3b182d85] Graphite2_jll v1.3.15+0
  [0234f1f7] HDF5_jll v1.14.6+0
  [2e76f6c2] HarfBuzz_jll v8.5.1+0
  [e33a78d0] Hwloc_jll v2.12.2+0
  [905a6f67] Imath_jll v3.1.11+0
  [1d5cc7b8] IntelOpenMP_jll v2025.2.0+0
  [aacddb02] JpegTurbo_jll v3.1.3+0
  [c1c5ebd0] LAME_jll v3.100.3+0
  [88015f11] LERC_jll v4.0.1+0
  [1d63c593] LLVMOpenMP_jll v18.1.8+0
  [dd4b983a] LZO_jll v2.10.3+0
  [e9f186c6] Libffi_jll v3.4.7+0
  [7e76a0d4] Libglvnd_jll v1.7.1+1
  [94ce4f54] Libiconv_jll v1.18.0+0
  [4b2f31a3] Libmount_jll v2.41.2+0
  [89763e89] Libtiff_jll v4.7.2+0
  [38a345b3] Libuuid_jll v2.41.2+0
  [d00139f3] METIS_jll v5.1.3+0
  [856f044c] MKL_jll v2025.2.0+0
  [7cb0a576] MPICH_jll v4.3.2+0
  [f1f71cc9] MPItrampoline_jll v5.5.4+0
  [9237b28f] MicrosoftMPI_jll v10.1.4+3
  [e7412a2a] Ogg_jll v1.3.6+0
  [6cdc7f73] OpenBLASConsistentFPCSR_jll v0.3.29+0
  [18a262bb] OpenEXR_jll v3.2.4+0
βŒƒ [fe0851c0] OpenMPI_jll v5.0.8+0
  [efe28fd5] OpenSpecFun_jll v0.5.6+0
  [91d4177d] Opus_jll v1.5.2+0
βŒƒ [36c8627f] Pango_jll v1.56.4+0
βŒ… [30392449] Pixman_jll v0.44.2+0
  [f50d1b31] Rmath_jll v0.5.1+0
βŒ… [fb77eaff] Sundials_jll v5.2.3+0
  [a2964d1f] Wayland_jll v1.24.0+0
βŒ… [02c8fc9c] XML2_jll v2.13.9+0
  [ffd25f8a] XZ_jll v5.8.1+0
  [4f6342f7] Xorg_libX11_jll v1.8.12+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.13+0
  [935fb764] Xorg_libXcursor_jll v1.2.4+0
  [a3789734] Xorg_libXdmcp_jll v1.1.6+0
  [1082639a] Xorg_libXext_jll v1.3.7+0
  [d091e8ba] Xorg_libXfixes_jll v6.0.2+0
  [a51aa0fd] Xorg_libXi_jll v1.8.3+0
  [d1454406] Xorg_libXinerama_jll v1.1.6+0
  [ec84b674] Xorg_libXrandr_jll v1.5.5+0
  [ea2f1a96] Xorg_libXrender_jll v0.9.12+0
  [a65dc6b1] Xorg_libpciaccess_jll v0.18.1+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.1+0
  [cc61e674] Xorg_libxkbfile_jll v1.1.3+0
  [35661453] Xorg_xkbcomp_jll v1.4.7+0
  [33bec58e] Xorg_xkeyboard_config_jll v2.44.0+0
  [c5fb5394] Xorg_xtrans_jll v1.6.0+0
  [3161d3a3] Zstd_jll v1.5.7+1
  [9a68df92] isoband_jll v0.2.3+0
  [477f73a3] libaec_jll v1.1.4+0
  [a4ae2306] libaom_jll v3.13.1+0
  [0ac62f75] libass_jll v0.17.4+0
  [1183f4f0] libdecor_jll v0.2.2+0
  [f638f0a6] libfdk_aac_jll v2.0.4+0
  [b53b4c65] libpng_jll v1.6.50+0
  [075b6546] libsixel_jll v1.10.5+0
  [f27f6e37] libvorbis_jll v1.3.8+0
  [c5f90fcd] libwebp_jll v1.6.0+0
  [1317d2d5] oneTBB_jll v2022.0.0+1
  [1270edf5] x264_jll v10164.0.1+0
  [dfaa095f] x265_jll v4.1.0+0
  [d8fb68d0] xkbcommon_jll v1.9.2+0
  [0dad84c5] ArgTools v1.1.2
  [56f22d72] Artifacts v1.11.0
  [2a0f44e3] Base64 v1.11.0
  [8bf52ea8] CRC32c v1.11.0
  [ade2ca70] Dates v1.11.0
  [8ba89e20] Distributed v1.11.0
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching v1.11.0
  [9fa8497b] Future v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [ac6e5ff7] JuliaSyntaxHighlighting v1.12.0
  [4af54fe1] LazyArtifacts v1.11.0
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2 v1.11.0
  [8f399da3] Libdl v1.11.0
  [37e2e46d] LinearAlgebra v1.12.0
  [56ddb016] Logging v1.11.0
  [d6f4376e] Markdown v1.11.0
  [a63ad114] Mmap v1.11.0
  [ca575930] NetworkOptions v1.3.0
  [44cfe95a] Pkg v1.12.0
  [de0858da] Printf v1.11.0
  [9abbd945] Profile v1.11.0
  [3fa0cd96] REPL v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [1a1011a3] SharedArrays v1.11.0
  [6462fe0b] Sockets v1.11.0
  [2f01184e] SparseArrays v1.12.0
  [f489334b] StyledStrings v1.11.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test v1.11.0
  [cf7118a7] UUIDs v1.11.0
  [4ec0a83e] Unicode v1.11.0
  [e66e0078] CompilerSupportLibraries_jll v1.3.0+1
  [deac9b47] LibCURL_jll v8.11.1+1
  [e37daf67] LibGit2_jll v1.9.0+0
  [29816b5a] LibSSH2_jll v1.11.3+1
  [14a3606d] MozillaCACerts_jll v2025.5.20
  [4536629a] OpenBLAS_jll v0.3.29+0
  [05823500] OpenLibm_jll v0.8.7+0
  [458c3c95] OpenSSL_jll v3.5.1+0
  [efcefdf7] PCRE2_jll v10.44.0+1
  [bea87d4a] SuiteSparse_jll v7.8.3+2
  [83775a58] Zlib_jll v1.3.1+2
  [8e850b90] libblastrampoline_jll v5.15.0+0
  [8e850ede] nghttp2_jll v1.64.0+1
  [3f19e933] p7zip_jll v17.5.0+2
Info Packages marked with βŒƒ and βŒ… have new versions available. Those with βŒƒ may be upgradable, but those with βŒ… are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`
  • Output of versioninfo()
julia> versioninfo()
Julia Version 1.12.1
Commit ba1e628ee49 (2025-10-17 13:02 UTC)
Build Info:
  Official https://julialang.org release
Platform Info:
  OS: macOS (arm64-apple-darwin24.0.0)
  CPU: 11 Γ— Apple M3 Pro
  WORD_SIZE: 64
  LLVM: libLLVM-18.1.7 (ORCJIT, apple-m3)
  GC: Built with stock GC
Threads: 5 default, 1 interactive, 5 GC (on 5 virtual cores)
Environment:
  JULIA_EDITOR = code
  JULIA_VSCODE_REPL = 1

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