Package evaluation to test PeriodicMatrices on Julia 1.14.0-DEV.1563 (14ca1abc72*) started at 2026-01-16T02:03:26.623 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 7.75s ################################################################################ # Installation # Installing PeriodicMatrices... Resolving package versions... Updating `~/.julia/environments/v1.14/Project.toml` [dd9cd634] + PeriodicMatrices v0.1.12 Updating `~/.julia/environments/v1.14/Manifest.toml` [47edcb42] + ADTypes v1.21.0 [621f4979] + AbstractFFTs v1.5.0 [1520ce14] + AbstractTrees v0.4.5 [7d9f7c33] + Accessors v0.1.43 [79e6a3ab] + Adapt v4.4.0 [66dad0bd] + AliasTables v1.1.3 [ec485272] + ArnoldiMethod v0.4.0 [4fba245c] + ArrayInterface v7.22.0 [4c555306] + ArrayLayouts v1.12.2 [13072b0f] + AxisAlgorithms v1.1.0 [e2ed5e7c] + Bijections v0.2.2 [62783981] + BitTwiddlingConvenienceFunctions v0.1.6 [70df07ce] + BracketingNonlinearSolve v1.6.2 [2a0fbf3d] + CPUSummary v0.2.7 [d360d2e6] + ChainRulesCore v1.26.0 [fb6a15b2] + CloseOpenIntervals v0.1.13 ⌅ [861a8166] + Combinatorics v1.0.2 [38540f10] + CommonSolve v0.2.6 [bbf7d656] + CommonSubexpressions v0.3.1 [f70d9fcc] + CommonWorldInvalidations v1.0.0 [34da2185] + Compat v4.18.1 [b152e2b5] + CompositeTypes v0.1.4 [a33af91c] + CompositionsBase v0.1.2 [2569d6c7] + ConcreteStructs v0.2.3 [187b0558] + ConstructionBase v1.6.0 [adafc99b] + CpuId v0.3.1 [9a962f9c] + DataAPI v1.16.0 [864edb3b] + DataStructures v0.19.3 [2b5f629d] + DiffEqBase v6.198.0 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [a0c0ee7d] + DifferentiationInterface v0.7.14 [31c24e10] + Distributions v0.25.123 [ffbed154] + DocStringExtensions v0.9.5 [5b8099bc] + DomainSets v0.7.16 [7c1d4256] + DynamicPolynomials v0.6.4 [4e289a0a] + EnumX v1.0.5 [f151be2c] + EnzymeCore v0.8.18 [d4d017d3] + ExponentialUtilities v1.30.0 [e2ba6199] + ExprTools v0.1.10 [55351af7] + ExproniconLite v0.10.14 [7a1cc6ca] + FFTW v1.10.0 [7034ab61] + FastBroadcast v0.3.5 [9aa1b823] + FastClosures v0.3.2 [442a2c76] + FastGaussQuadrature v1.1.0 [a4df4552] + FastPower v1.3.0 [1a297f60] + FillArrays v1.15.0 [6a86dc24] + FiniteDiff v2.29.0 [1fa38f19] + Format v1.3.7 ⌃ [f6369f11] + ForwardDiff v0.10.39 [069b7b12] + FunctionWrappers v1.1.3 [77dc65aa] + FunctionWrappersWrappers v0.1.3 [46192b85] + GPUArraysCore v0.2.0 [c145ed77] + GenericSchur v0.5.6 [34004b35] + HypergeometricFunctions v0.3.28 [58bc7355] + IRKGaussLegendre v0.2.13 [615f187c] + IfElse v0.1.1 [18e54dd8] + IntegerMathUtils v0.1.3 ⌅ [a98d9a8b] + Interpolations v0.15.1 [8197267c] + IntervalSets v0.7.13 [3587e190] + InverseFunctions v0.1.17 [92d709cd] + IrrationalConstants v0.2.6 [82899510] + IteratorInterfaceExtensions v1.0.0 [692b3bcd] + JLLWrappers v1.7.1 [ae98c720] + Jieko v0.2.1 [ba0b0d4f] + Krylov v0.10.3 [b964fa9f] + LaTeXStrings v1.4.0 [23fbe1c1] + Latexify v0.16.10 [10f19ff3] + LayoutPointers v0.1.17 [87fe0de2] + LineSearch v0.1.6 ⌃ [d3d80556] + LineSearches v7.5.1 [7ed4a6bd] + LinearSolve v3.57.0 [2ab3a3ac] + LogExpFunctions v0.3.29 [e6f89c97] + LoggingExtras v1.2.0 [1914dd2f] + MacroTools v0.5.16 [d125e4d3] + ManualMemory v0.1.8 [a3b82374] + MatrixFactorizations v3.1.3 [bb5d69b7] + MaybeInplace v0.1.4 [e1d29d7a] + Missings v1.2.0 [2e0e35c7] + Moshi v0.3.7 [46d2c3a1] + MuladdMacro v0.2.4 [102ac46a] + MultivariatePolynomials v0.5.13 [d8a4904e] + MutableArithmetics v1.6.7 ⌅ [d41bc354] + NLSolversBase v7.10.0 [77ba4419] + NaNMath v1.1.3 ⌃ [8913a72c] + NonlinearSolve v4.12.0 [be0214bd] + NonlinearSolveBase v2.9.1 [5959db7a] + NonlinearSolveFirstOrder v1.11.0 [9a2c21bd] + NonlinearSolveQuasiNewton v1.12.0 [26075421] + NonlinearSolveSpectralMethods v1.6.0 [6fe1bfb0] + OffsetArrays v1.17.0 ⌅ [429524aa] + Optim v1.13.3 [bac558e1] + OrderedCollections v1.8.1 [1dea7af3] + OrdinaryDiffEq v6.105.0 [89bda076] + OrdinaryDiffEqAdamsBashforthMoulton v1.8.0 [6ad6398a] + OrdinaryDiffEqBDF v1.13.0 [bbf590c4] + OrdinaryDiffEqCore v2.3.0 [50262376] + OrdinaryDiffEqDefault v1.11.0 [4302a76b] + OrdinaryDiffEqDifferentiation v1.21.0 [9286f039] + OrdinaryDiffEqExplicitRK v1.7.0 [e0540318] + OrdinaryDiffEqExponentialRK v1.11.0 [becaefa8] + OrdinaryDiffEqExtrapolation v1.12.0 [5960d6e9] + OrdinaryDiffEqFIRK v1.19.0 [101fe9f7] + OrdinaryDiffEqFeagin v1.7.0 [d3585ca7] + OrdinaryDiffEqFunctionMap v1.8.0 [d28bc4f8] + OrdinaryDiffEqHighOrderRK v1.8.0 [9f002381] + OrdinaryDiffEqIMEXMultistep v1.10.0 [521117fe] + OrdinaryDiffEqLinear v1.9.0 [1344f307] + OrdinaryDiffEqLowOrderRK v1.9.0 [b0944070] + OrdinaryDiffEqLowStorageRK v1.10.0 [127b3ac7] + OrdinaryDiffEqNonlinearSolve v1.18.1 [c9986a66] + OrdinaryDiffEqNordsieck v1.7.0 [5dd0a6cf] + OrdinaryDiffEqPDIRK v1.9.0 [5b33eab2] + OrdinaryDiffEqPRK v1.7.0 [04162be5] + OrdinaryDiffEqQPRK v1.7.0 [af6ede74] + OrdinaryDiffEqRKN v1.8.0 [43230ef6] + OrdinaryDiffEqRosenbrock v1.21.0 [2d112036] + OrdinaryDiffEqSDIRK v1.10.0 [669c94d9] + OrdinaryDiffEqSSPRK v1.10.0 [e3e12d00] + OrdinaryDiffEqStabilizedIRK v1.9.0 [358294b1] + OrdinaryDiffEqStabilizedRK v1.7.0 [fa646aed] + OrdinaryDiffEqSymplecticRK v1.10.0 [b1df2697] + OrdinaryDiffEqTsit5 v1.8.0 [79d7bb75] + OrdinaryDiffEqVerner v1.9.0 [90014a1f] + PDMats v0.11.37 [d96e819e] + Parameters v0.12.3 [dd9cd634] + PeriodicMatrices v0.1.12 [e5aedecb] + PeriodicSchurDecompositions v0.1.6 [f517fe37] + Polyester v0.7.18 [1d0040c9] + PolyesterWeave v0.2.2 [85a6dd25] + PositiveFactorizations v0.2.4 ⌅ [d236fae5] + PreallocationTools v0.4.34 [aea7be01] + PrecompileTools v1.3.3 [21216c6a] + Preferences v1.5.1 [27ebfcd6] + Primes v0.5.7 [43287f4e] + PtrArrays v1.3.0 [1fd47b50] + QuadGK v2.11.2 [c84ed2f1] + Ratios v0.4.5 [3cdcf5f2] + RecipesBase v1.3.4 [731186ca] + RecursiveArrayTools v3.44.0 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.1 [79098fc4] + Rmath v0.9.0 [7e49a35a] + RuntimeGeneratedFunctions v0.5.16 [fdea26ae] + SIMD v3.7.2 [94e857df] + SIMDTypes v0.1.0 [0bca4576] + SciMLBase v2.132.0 [19f34311] + SciMLJacobianOperators v0.1.12 [a6db7da4] + SciMLLogging v1.8.0 [c0aeaf25] + SciMLOperators v1.14.1 [431bcebd] + SciMLPublic v1.0.1 [53ae85a6] + SciMLStructures v1.10.0 [efcf1570] + Setfield v1.1.2 [727e6d20] + SimpleNonlinearSolve v2.10.0 [a2af1166] + SortingAlgorithms v1.2.2 [0a514795] + SparseMatrixColorings v0.4.23 [276daf66] + SpecialFunctions v2.6.1 [aedffcd0] + Static v1.3.1 [0d7ed370] + StaticArrayInterface v1.8.0 [90137ffa] + StaticArrays v1.9.16 [1e83bf80] + StaticArraysCore v1.4.4 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.8.0 [2913bbd2] + StatsBase v0.34.10 [4c63d2b9] + StatsFuns v1.5.2 [7792a7ef] + StrideArraysCore v0.5.8 [2efcf032] + SymbolicIndexingInterface v0.3.46 ⌅ [19f23fe9] + SymbolicLimits v0.2.3 ⌅ [d1185830] + SymbolicUtils v3.32.0 ⌅ [0c5d862f] + Symbolics v6.58.0 [ed4db957] + TaskLocalValues v0.1.3 [8ea1fca8] + TermInterface v2.0.0 [8290d209] + ThreadingUtilities v0.5.5 [a759f4b9] + TimerOutputs v0.5.29 [781d530d] + TruncatedStacktraces v1.4.0 [3a884ed6] + UnPack v1.0.2 [a7c27f48] + Unityper v0.1.6 [efce3f68] + WoodburyMatrices v1.1.0 [f5851436] + FFTW_jll v3.3.11+0 [61579ee1] + Ghostscript_jll v9.55.1+0 [1d5cc7b8] + IntelOpenMP_jll v2025.2.0+0 [aacddb02] + JpegTurbo_jll v3.1.4+0 [856f044c] + MKL_jll v2025.2.0+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [f50d1b31] + Rmath_jll v0.5.1+0 [545525a2] + SLICOT_jll v5.9.0+0 [1317d2d5] + oneTBB_jll v2022.0.0+1 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [8ba89e20] + Distributed v1.11.0 [f43a241f] + Downloads v1.7.0 [7b1f6079] + FileWatching v1.11.0 [9fa8497b] + Future v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [ac6e5ff7] + JuliaSyntaxHighlighting v1.13.0 [4af54fe1] + LazyArtifacts v1.11.0 [b27032c2] + LibCURL v1.0.0 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.13.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.3.0 [44cfe95a] + Pkg v1.14.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.0.0 [9e88b42a] + Serialization v1.11.0 [1a1011a3] + SharedArrays v1.11.0 [6462fe0b] + Sockets v1.11.0 [2f01184e] + SparseArrays v1.13.0 [f489334b] + StyledStrings v1.13.0 [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 v8.18.0+0 [e37daf67] + LibGit2_jll v1.9.2+0 [29816b5a] + LibSSH2_jll v1.11.3+1 [14a3606d] + MozillaCACerts_jll v2025.12.2 [4536629a] + OpenBLAS_jll v0.3.29+0 [05823500] + OpenLibm_jll v0.8.7+0 [458c3c95] + OpenSSL_jll v3.5.4+0 [efcefdf7] + PCRE2_jll v10.47.0+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [83775a58] + Zlib_jll v1.3.1+2 [3161d3a3] + Zstd_jll v1.5.7+1 [8e850b90] + libblastrampoline_jll v5.15.0+0 [8e850ede] + nghttp2_jll v1.68.0+1 [3f19e933] + p7zip_jll v17.7.0+0 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m` Installation completed after 6.4s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling packages... 3649.9 ms ✓ SLICOT_jll 33331.3 ms ✓ SymbolicUtils 4131.3 ms ✓ PeriodicSchurDecompositions 4963.6 ms ✓ SciMLBase → SciMLBaseForwardDiffExt 1817.4 ms ✓ RecursiveArrayTools → RecursiveArrayToolsForwardDiffExt 5065.5 ms ✓ NonlinearSolveBase → NonlinearSolveBaseForwardDiffExt 6188.4 ms ✓ NonlinearSolveBase → NonlinearSolveBaseBandedMatricesExt 7041.5 ms ✓ SciMLBase → SciMLBaseDistributionsExt 6852.6 ms ✓ LinearSolve → LinearSolveBandedMatricesExt 7457.5 ms ✓ LinearSolve → LinearSolveForwardDiffExt 1038.4 ms ✓ NonlinearSolveQuasiNewton 3888.4 ms ✓ BracketingNonlinearSolve → BracketingNonlinearSolveForwardDiffExt 7954.2 ms ✓ Optim 3676.3 ms ✓ LineSearch → LineSearchLineSearchesExt 4831.7 ms ✓ NonlinearSolveSpectralMethods → NonlinearSolveSpectralMethodsForwardDiffExt 5608.8 ms ✓ IRKGaussLegendre 5342.6 ms ✓ DiffEqBase → DiffEqBaseForwardDiffExt 4197.3 ms ✓ ToeplitzMatrices → ToeplitzMatricesStatsBaseExt 19770.9 ms ✓ ApproxFunBase 6841.8 ms ✓ OrdinaryDiffEqAdamsBashforthMoulton 6536.2 ms ✓ OrdinaryDiffEqNordsieck 5719.3 ms ✓ SymbolicLimits 42340.2 ms ✓ NonlinearSolveFirstOrder 5997.4 ms ✓ NonlinearSolveQuasiNewton → NonlinearSolveQuasiNewtonForwardDiffExt 4871.6 ms ✓ BracketingNonlinearSolve → BracketingNonlinearSolveChainRulesCoreExt 17081.0 ms ✓ SimpleNonlinearSolve 13055.5 ms ✓ OrdinaryDiffEqDifferentiation 14848.2 ms ✓ ApproxFunOrthogonalPolynomials 13789.7 ms ✓ ApproxFunBase → ApproxFunBaseTestExt 13953.3 ms ✓ ApproxFunFourier 48642.8 ms ✓ Symbolics 5202.9 ms ✓ SimpleNonlinearSolve → SimpleNonlinearSolveChainRulesCoreExt 7835.3 ms ✓ OrdinaryDiffEqDifferentiation → OrdinaryDiffEqDifferentiationSparseArraysExt 14294.7 ms ✓ ApproxFunOrthogonalPolynomials → ApproxFunOrthogonalPolynomialsStaticExt 14822.3 ms ✓ ApproxFunOrthogonalPolynomials → ApproxFunOrthogonalPolynomialsPolynomialsExt 15305.5 ms ✓ Symbolics → SymbolicsForwardDiffExt 14182.3 ms ✓ DifferentiationInterface → DifferentiationInterfaceSymbolicsExt 28189.6 ms ✓ NonlinearSolve 13063.1 ms ✓ OrdinaryDiffEqExtrapolation 35103.8 ms ✓ OrdinaryDiffEqRosenbrock 13287.5 ms ✓ OrdinaryDiffEqExponentialRK 14158.0 ms ✓ ApproxFunSingularities 15859.4 ms ✓ Symbolics → SymbolicsPreallocationToolsExt 14796.7 ms ✓ OrdinaryDiffEqNonlinearSolve 14830.3 ms ✓ ApproxFunSingularities → ApproxFunSingularitiesStaticArraysExt 47011.8 ms ✓ OrdinaryDiffEqFIRK 11974.1 ms ✓ OrdinaryDiffEqIMEXMultistep 11788.8 ms ✓ OrdinaryDiffEqStabilizedIRK 13263.8 ms ✓ OrdinaryDiffEqPDIRK 14468.0 ms ✓ OrdinaryDiffEqSDIRK 14283.3 ms ✓ ApproxFun 27831.4 ms ✓ OrdinaryDiffEqBDF 51741.5 ms ✓ OrdinaryDiffEqDefault 20064.7 ms ✓ OrdinaryDiffEq 37771.6 ms ✓ PeriodicMatrices WARNING: Constructor for type "FourierFunctionMatrix" was extended in `FourierApproxExt` without explicit qualification or import.  NOTE: Assumed "FourierFunctionMatrix" refers to `PeriodicMatrices.FourierFunctionMatrix`. This behavior is deprecated and may differ in future versions.  NOTE: This behavior may have differed in Julia versions prior to 1.12.  Hint: If you intended to create a new generic function of the same name, use `function FourierFunctionMatrix end`.  Hint: To silence the warning, qualify `FourierFunctionMatrix` as `PeriodicMatrices.FourierFunctionMatrix` in the method signature or explicitly `import PeriodicMatrices: FourierFunctionMatrix`. 50216.8 ms ✓ PeriodicMatrices → FourierApproxExt 55 dependencies successfully precompiled in 867 seconds. 334 already precompiled. 1 dependency had output during precompilation: ┌ PeriodicMatrices → FourierApproxExt │ WARNING: Constructor for type "FourierFunctionMatrix" was extended in `FourierApproxExt` without explicit qualification or import. │ NOTE: Assumed "FourierFunctionMatrix" refers to `PeriodicMatrices.FourierFunctionMatrix`. This behavior is deprecated and may differ in future versions. │ NOTE: This behavior may have differed in Julia versions prior to 1.12. │ Hint: If you intended to create a new generic function of the same name, use `function FourierFunctionMatrix end`. │ Hint: To silence the warning, qualify `FourierFunctionMatrix` as `PeriodicMatrices.FourierFunctionMatrix` in the method signature or explicitly `import PeriodicMatrices: FourierFunctionMatrix`. └ Precompilation completed after 829.11s ################################################################################ # Testing # Testing PeriodicMatrices Status `/tmp/jl_DiY1oC/Project.toml` [28f2ccd6] ApproxFun v0.13.28 [0e736298] Bessels v0.2.8 [7a1cc6ca] FFTW v1.10.0 [58bc7355] IRKGaussLegendre v0.2.13 ⌅ [a98d9a8b] Interpolations v0.15.1 [48965c70] MatrixPencils v1.9.1 ⌅ [429524aa] Optim v1.13.3 [1dea7af3] OrdinaryDiffEq v6.105.0 [dd9cd634] PeriodicMatrices v0.1.12 [e5aedecb] PeriodicSchurDecompositions v0.1.6 [27ebfcd6] Primes v0.5.7 [1fd47b50] QuadGK v2.11.2 ⌅ [0c5d862f] Symbolics v6.58.0 [545525a2] SLICOT_jll v5.9.0+0 [37e2e46d] LinearAlgebra v1.13.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_DiY1oC/Manifest.toml` [47edcb42] ADTypes v1.21.0 [621f4979] AbstractFFTs v1.5.0 [1520ce14] AbstractTrees v0.4.5 [7d9f7c33] Accessors v0.1.43 [79e6a3ab] Adapt v4.4.0 [66dad0bd] AliasTables v1.1.3 [28f2ccd6] ApproxFun v0.13.28 [fbd15aa5] ApproxFunBase v0.9.33 [59844689] ApproxFunFourier v0.3.31 [b70543e2] ApproxFunOrthogonalPolynomials v0.6.62 [f8fcb915] ApproxFunSingularities v0.3.22 [ec485272] ArnoldiMethod v0.4.0 [4fba245c] ArrayInterface v7.22.0 [4c555306] ArrayLayouts v1.12.2 [13072b0f] AxisAlgorithms v1.1.0 [aae01518] BandedMatrices v1.11.0 [0e736298] Bessels v0.2.8 [e2ed5e7c] Bijections v0.2.2 [62783981] BitTwiddlingConvenienceFunctions v0.1.6 [8e7c35d0] BlockArrays v1.9.3 [ffab5731] BlockBandedMatrices v0.13.4 [70df07ce] BracketingNonlinearSolve v1.6.2 [2a0fbf3d] CPUSummary v0.2.7 [49dc2e85] Calculus v0.5.2 [d360d2e6] ChainRulesCore v1.26.0 [fb6a15b2] CloseOpenIntervals v0.1.13 ⌅ [861a8166] Combinatorics v1.0.2 [38540f10] CommonSolve v0.2.6 [bbf7d656] CommonSubexpressions v0.3.1 [f70d9fcc] CommonWorldInvalidations v1.0.0 [34da2185] Compat v4.18.1 [b152e2b5] CompositeTypes v0.1.4 [a33af91c] CompositionsBase v0.1.2 [2569d6c7] ConcreteStructs v0.2.3 [187b0558] ConstructionBase v1.6.0 [adafc99b] CpuId v0.3.1 [717857b8] DSP v0.8.4 [9a962f9c] DataAPI v1.16.0 [864edb3b] DataStructures v0.19.3 [2b5f629d] DiffEqBase v6.198.0 [163ba53b] DiffResults v1.1.0 [b552c78f] DiffRules v1.15.1 [a0c0ee7d] DifferentiationInterface v0.7.14 [31c24e10] Distributions v0.25.123 [ffbed154] DocStringExtensions v0.9.5 [5b8099bc] DomainSets v0.7.16 [7c1d4256] DynamicPolynomials v0.6.4 [4e289a0a] EnumX v1.0.5 [f151be2c] EnzymeCore v0.8.18 [d4d017d3] ExponentialUtilities v1.30.0 [e2ba6199] ExprTools v0.1.10 [55351af7] ExproniconLite v0.10.14 [7a1cc6ca] FFTW v1.10.0 [7034ab61] FastBroadcast v0.3.5 [9aa1b823] FastClosures v0.3.2 [442a2c76] FastGaussQuadrature v1.1.0 [a4df4552] FastPower v1.3.0 [057dd010] FastTransforms v0.17.1 [1a297f60] FillArrays v1.15.0 [6a86dc24] FiniteDiff v2.29.0 [1fa38f19] Format v1.3.7 ⌃ [f6369f11] ForwardDiff v0.10.39 [069b7b12] FunctionWrappers v1.1.3 [77dc65aa] FunctionWrappersWrappers v0.1.3 [46192b85] GPUArraysCore v0.2.0 [a8297547] GenericFFT v0.1.6 [c145ed77] GenericSchur v0.5.6 [f0d1745a] HalfIntegers v1.6.0 [34004b35] HypergeometricFunctions v0.3.28 [58bc7355] IRKGaussLegendre v0.2.13 [615f187c] IfElse v0.1.1 [4858937d] InfiniteArrays v0.15.11 [e1ba4f0e] Infinities v0.1.12 [18e54dd8] IntegerMathUtils v0.1.3 ⌅ [a98d9a8b] Interpolations v0.15.1 [8197267c] IntervalSets v0.7.13 [3587e190] InverseFunctions v0.1.17 [92d709cd] IrrationalConstants v0.2.6 [c8e1da08] IterTools v1.10.0 [82899510] IteratorInterfaceExtensions v1.0.0 [692b3bcd] JLLWrappers v1.7.1 [ae98c720] Jieko v0.2.1 [ba0b0d4f] Krylov v0.10.3 [b964fa9f] LaTeXStrings v1.4.0 [23fbe1c1] Latexify v0.16.10 [10f19ff3] LayoutPointers v0.1.17 [5078a376] LazyArrays v2.9.4 [87fe0de2] LineSearch v0.1.6 ⌃ [d3d80556] LineSearches v7.5.1 [7a12625a] LinearMaps v3.11.4 [7ed4a6bd] LinearSolve v3.57.0 [2ab3a3ac] LogExpFunctions v0.3.29 [e6f89c97] LoggingExtras v1.2.0 [e65ccdef] LowRankMatrices v1.0.2 [1914dd2f] MacroTools v0.5.16 [d125e4d3] ManualMemory v0.1.8 [99c1a7ee] MatrixEquations v2.5.6 [a3b82374] MatrixFactorizations v3.1.3 [48965c70] MatrixPencils v1.9.1 [bb5d69b7] MaybeInplace v0.1.4 [e1d29d7a] Missings v1.2.0 [2e0e35c7] Moshi v0.3.7 [46d2c3a1] MuladdMacro v0.2.4 [102ac46a] MultivariatePolynomials v0.5.13 [d8a4904e] MutableArithmetics v1.6.7 ⌅ [d41bc354] NLSolversBase v7.10.0 [77ba4419] NaNMath v1.1.3 ⌃ [8913a72c] NonlinearSolve v4.12.0 [be0214bd] NonlinearSolveBase v2.9.1 [5959db7a] NonlinearSolveFirstOrder v1.11.0 [9a2c21bd] NonlinearSolveQuasiNewton v1.12.0 [26075421] NonlinearSolveSpectralMethods v1.6.0 [8d37c425] OddEvenIntegers v0.2.0 [6fe1bfb0] OffsetArrays v1.17.0 ⌅ [429524aa] Optim v1.13.3 [bac558e1] OrderedCollections v1.8.1 [1dea7af3] OrdinaryDiffEq v6.105.0 [89bda076] OrdinaryDiffEqAdamsBashforthMoulton v1.8.0 [6ad6398a] OrdinaryDiffEqBDF v1.13.0 [bbf590c4] OrdinaryDiffEqCore v2.3.0 [50262376] OrdinaryDiffEqDefault v1.11.0 [4302a76b] OrdinaryDiffEqDifferentiation v1.21.0 [9286f039] OrdinaryDiffEqExplicitRK v1.7.0 [e0540318] OrdinaryDiffEqExponentialRK v1.11.0 [becaefa8] OrdinaryDiffEqExtrapolation v1.12.0 [5960d6e9] OrdinaryDiffEqFIRK v1.19.0 [101fe9f7] OrdinaryDiffEqFeagin v1.7.0 [d3585ca7] OrdinaryDiffEqFunctionMap v1.8.0 [d28bc4f8] OrdinaryDiffEqHighOrderRK v1.8.0 [9f002381] OrdinaryDiffEqIMEXMultistep v1.10.0 [521117fe] OrdinaryDiffEqLinear v1.9.0 [1344f307] OrdinaryDiffEqLowOrderRK v1.9.0 [b0944070] OrdinaryDiffEqLowStorageRK v1.10.0 [127b3ac7] OrdinaryDiffEqNonlinearSolve v1.18.1 [c9986a66] OrdinaryDiffEqNordsieck v1.7.0 [5dd0a6cf] OrdinaryDiffEqPDIRK v1.9.0 [5b33eab2] OrdinaryDiffEqPRK v1.7.0 [04162be5] OrdinaryDiffEqQPRK v1.7.0 [af6ede74] OrdinaryDiffEqRKN v1.8.0 [43230ef6] OrdinaryDiffEqRosenbrock v1.21.0 [2d112036] OrdinaryDiffEqSDIRK v1.10.0 [669c94d9] OrdinaryDiffEqSSPRK v1.10.0 [e3e12d00] OrdinaryDiffEqStabilizedIRK v1.9.0 [358294b1] OrdinaryDiffEqStabilizedRK v1.7.0 [fa646aed] OrdinaryDiffEqSymplecticRK v1.10.0 [b1df2697] OrdinaryDiffEqTsit5 v1.8.0 [79d7bb75] OrdinaryDiffEqVerner v1.9.0 [90014a1f] PDMats v0.11.37 [d96e819e] Parameters v0.12.3 [dd9cd634] PeriodicMatrices v0.1.12 [e5aedecb] PeriodicSchurDecompositions v0.1.6 [f517fe37] Polyester v0.7.18 [1d0040c9] PolyesterWeave v0.2.2 [f27b6e38] Polynomials v4.1.0 [85a6dd25] PositiveFactorizations v0.2.4 ⌅ [d236fae5] PreallocationTools v0.4.34 [aea7be01] PrecompileTools v1.3.3 [21216c6a] Preferences v1.5.1 [27ebfcd6] Primes v0.5.7 [43287f4e] PtrArrays v1.3.0 [1fd47b50] QuadGK v2.11.2 [c84ed2f1] Ratios v0.4.5 [3cdcf5f2] RecipesBase v1.3.4 [807425ed] RecurrenceRelationships v0.2.0 [731186ca] RecursiveArrayTools v3.44.0 [189a3867] Reexport v1.2.2 [ae029012] Requires v1.3.1 [79098fc4] Rmath v0.9.0 [7e49a35a] RuntimeGeneratedFunctions v0.5.16 [fdea26ae] SIMD v3.7.2 [94e857df] SIMDTypes v0.1.0 [0bca4576] SciMLBase v2.132.0 [19f34311] SciMLJacobianOperators v0.1.12 [a6db7da4] SciMLLogging v1.8.0 [c0aeaf25] SciMLOperators v1.14.1 [431bcebd] SciMLPublic v1.0.1 [53ae85a6] SciMLStructures v1.10.0 [efcf1570] Setfield v1.1.2 [727e6d20] SimpleNonlinearSolve v2.10.0 [a2af1166] SortingAlgorithms v1.2.2 [0a514795] SparseMatrixColorings v0.4.23 [276daf66] SpecialFunctions v2.6.1 [aedffcd0] Static v1.3.1 [0d7ed370] StaticArrayInterface v1.8.0 [90137ffa] StaticArrays v1.9.16 [1e83bf80] StaticArraysCore v1.4.4 [10745b16] Statistics v1.11.1 [82ae8749] StatsAPI v1.8.0 [2913bbd2] StatsBase v0.34.10 [4c63d2b9] StatsFuns v1.5.2 [7792a7ef] StrideArraysCore v0.5.8 [2efcf032] SymbolicIndexingInterface v0.3.46 ⌅ [19f23fe9] SymbolicLimits v0.2.3 ⌅ [d1185830] SymbolicUtils v3.32.0 ⌅ [0c5d862f] Symbolics v6.58.0 [ed4db957] TaskLocalValues v0.1.3 [8ea1fca8] TermInterface v2.0.0 [8290d209] ThreadingUtilities v0.5.5 [a759f4b9] TimerOutputs v0.5.29 [c751599d] ToeplitzMatrices v0.8.5 [781d530d] TruncatedStacktraces v1.4.0 [3a884ed6] UnPack v1.0.2 [a7c27f48] Unityper v0.1.6 [efce3f68] WoodburyMatrices v1.1.0 [f5851436] FFTW_jll v3.3.11+0 [34b6f7d7] FastTransforms_jll v0.6.3+0 [61579ee1] Ghostscript_jll v9.55.1+0 [1d5cc7b8] IntelOpenMP_jll v2025.2.0+0 [aacddb02] JpegTurbo_jll v3.1.4+0 [1d63c593] LLVMOpenMP_jll v18.1.8+0 [856f044c] MKL_jll v2025.2.0+0 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [f50d1b31] Rmath_jll v0.5.1+0 [545525a2] SLICOT_jll v5.9.0+0 [1317d2d5] oneTBB_jll v2022.0.0+1 [0dad84c5] ArgTools v1.1.2 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates v1.11.0 [8ba89e20] Distributed v1.11.0 [f43a241f] Downloads v1.7.0 [7b1f6079] FileWatching v1.11.0 [9fa8497b] Future v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [ac6e5ff7] JuliaSyntaxHighlighting v1.13.0 [4af54fe1] LazyArtifacts v1.11.0 [b27032c2] LibCURL v1.0.0 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.13.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [a63ad114] Mmap v1.11.0 [ca575930] NetworkOptions v1.3.0 [44cfe95a] Pkg v1.14.0 [de0858da] Printf v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v1.0.0 [9e88b42a] Serialization v1.11.0 [1a1011a3] SharedArrays v1.11.0 [6462fe0b] Sockets v1.11.0 [2f01184e] SparseArrays v1.13.0 [f489334b] StyledStrings v1.13.0 [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 [781609d7] GMP_jll v6.3.0+2 [deac9b47] LibCURL_jll v8.18.0+0 [e37daf67] LibGit2_jll v1.9.2+0 [29816b5a] LibSSH2_jll v1.11.3+1 [3a97d323] MPFR_jll v4.2.2+0 [14a3606d] MozillaCACerts_jll v2025.12.2 [4536629a] OpenBLAS_jll v0.3.29+0 [05823500] OpenLibm_jll v0.8.7+0 [458c3c95] OpenSSL_jll v3.5.4+0 [efcefdf7] PCRE2_jll v10.47.0+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [83775a58] Zlib_jll v1.3.1+2 [3161d3a3] Zstd_jll v1.5.7+1 [8e850b90] libblastrampoline_jll v5.15.0+0 [8e850ede] nghttp2_jll v1.68.0+1 [3f19e933] p7zip_jll v17.7.0+0 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. Testing Running tests... WARNING: Constructor for type "FourierFunctionMatrix" was extended in `FourierApproxExt` without explicit qualification or import.  NOTE: Assumed "FourierFunctionMatrix" refers to `PeriodicMatrices.FourierFunctionMatrix`. This behavior is deprecated and may differ in future versions.  NOTE: This behavior may have differed in Julia versions prior to 1.12.  Hint: If you intended to create a new generic function of the same name, use `function FourierFunctionMatrix end`.  Hint: To silence the warning, qualify `FourierFunctionMatrix` as `PeriodicMatrices.FourierFunctionMatrix` in the method signature or explicitly `import PeriodicMatrices: FourierFunctionMatrix`. 1 dependency had output during precompilation: ┌ PeriodicMatrices → FourierApproxExt │ [Output was shown above] └ Test_psfutils 0.666916 seconds (629.42 k allocations: 35.468 MiB, 99.83% compilation time) 0.008902 seconds (4.26 k allocations: 231.078 KiB, 98.61% compilation time) 0.050784 seconds (15.26 k allocations: 845.312 KiB, 96.52% compilation time) 0.029472 seconds (13.45 k allocations: 760.203 KiB, 97.12% compilation time) 0.035155 seconds (25.91 k allocations: 1.390 MiB, 97.52% compilation time) 0.000031 seconds (34 allocations: 2.172 KiB) 0.000014 seconds (32 allocations: 1.844 KiB) 0.000015 seconds (29 allocations: 1.469 KiB) 0.000015 seconds (34 allocations: 2.203 KiB) 0.000015 seconds (29 allocations: 1.500 KiB) 0.673152 seconds (555.62 k allocations: 34.280 MiB, 99.86% compilation time) 0.008608 seconds (4.28 k allocations: 232.281 KiB, 98.27% compilation time) 0.042798 seconds (11.05 k allocations: 640.141 KiB, 97.81% compilation time) 0.034881 seconds (13.47 k allocations: 761.453 KiB, 96.69% compilation time) 0.000048 seconds (56 allocations: 3.562 KiB) 0.000039 seconds (50 allocations: 3.047 KiB) 0.000049 seconds (56 allocations: 3.594 KiB) 0.000115 seconds (32 allocations: 6.594 KiB) 2.936475 seconds (1.19 M allocations: 70.023 MiB, 30.03% gc time, 99.99% compilation time) 0.000057 seconds (82 allocations: 16.859 KiB) 0.000043 seconds (70 allocations: 11.328 KiB) 0.000204 seconds (50 allocations: 9.344 KiB) 1.469381 seconds (617.23 k allocations: 37.052 MiB, 99.98% compilation time) 0.000141 seconds (92 allocations: 14.344 KiB) 0.019774 seconds (2.89 k allocations: 165.539 KiB, 93.02% compilation time) 0.000216 seconds (104 allocations: 19.875 KiB) 0.683272 seconds (377.88 k allocations: 21.941 MiB, 99.73% compilation time) 0.000208 seconds (40 allocations: 4.188 KiB) 0.517101 seconds (589.54 k allocations: 36.944 MiB, 6.74% gc time, 99.94% compilation time) 0.000181 seconds (20 allocations: 912 bytes) 1.200080 seconds (527.59 k allocations: 31.461 MiB, 99.92% compilation time) 0.000078 seconds (34 allocations: 7.812 KiB) 0.000038 seconds (70 allocations: 14.141 KiB) 0.000127 seconds (52 allocations: 10.188 KiB) 0.000089 seconds (92 allocations: 16.750 KiB) 0.000082 seconds (54 allocations: 8.297 KiB) 0.000127 seconds (79 allocations: 15.734 KiB) 0.000048 seconds (69 allocations: 11.156 KiB) 0.029729 seconds (3.69 k allocations: 203.000 KiB, 96.94% compilation time) 0.000116 seconds (79 allocations: 15.734 KiB) 0.000053 seconds (79 allocations: 15.734 KiB) 0.000055 seconds (43 allocations: 7.453 KiB) 0.000060 seconds (79 allocations: 15.734 KiB) 2.635803 seconds (1.75 M allocations: 105.429 MiB, 1.84% gc time, 99.94% compilation time) 0.166822 seconds (22.06 k allocations: 1.169 MiB, 98.81% compilation time) 2.355474 seconds (1.19 M allocations: 70.752 MiB, 99.93% compilation time) 0.097642 seconds (21.16 k allocations: 1.130 MiB, 98.14% compilation time) 70.598665 seconds (46.39 M allocations: 2.732 GiB, 4.70% gc time, 99.98% compilation time) 0.400807 seconds (810.03 k allocations: 48.640 MiB, 98.55% compilation time) 0.022413 seconds (31.05 k allocations: 2.481 MiB, 76.96% compilation time) 0.004189 seconds (25.40 k allocations: 2.166 MiB) 21.881905 seconds (15.42 M allocations: 954.128 MiB, 2.40% gc time, 99.98% compilation time) 0.000424 seconds (1.05 k allocations: 47.203 KiB) 0.000445 seconds (950 allocations: 43.812 KiB) 0.000275 seconds (1.01 k allocations: 46.234 KiB) 21.954331 seconds (16.97 M allocations: 1013.210 MiB, 1.27% gc time, 99.96% compilation time) 0.033376 seconds (154.17 k allocations: 9.537 MiB, 98.23% compilation time) 0.030098 seconds (13.44 k allocations: 750.609 KiB, 95.91% compilation time) 3.322427 seconds (2.78 M allocations: 166.615 MiB, 100.00% compilation time) 0.000036 seconds (38 allocations: 2.969 KiB) 0.000048 seconds (30 allocations: 2.094 KiB) 0.000028 seconds (30 allocations: 2.125 KiB) 0.000024 seconds (34 allocations: 2.656 KiB) 0.000020 seconds (34 allocations: 2.688 KiB) 0.000068 seconds (52 allocations: 3.562 KiB) 0.000041 seconds (52 allocations: 3.594 KiB) 0.000038 seconds (56 allocations: 4.125 KiB) 0.000051 seconds (56 allocations: 4.156 KiB) 0.000058 seconds (93 allocations: 5.781 KiB) 2.520112 seconds (1.37 M allocations: 83.401 MiB, 2.79% gc time, 99.96% compilation time) 0.000188 seconds (174 allocations: 8.312 KiB) 0.000075 seconds (171 allocations: 9.875 KiB) 0.000061 seconds (93 allocations: 5.781 KiB) 0.000040 seconds (179 allocations: 10.141 KiB) 0.000054 seconds (56 allocations: 4.125 KiB) 0.553561 seconds (314.95 k allocations: 17.882 MiB, 99.97% compilation time) 0.000085 seconds (52 allocations: 3.562 KiB) 0.308125 seconds (78.72 k allocations: 4.407 MiB, 99.13% compilation time) 0.006915 seconds (2.13 k allocations: 102.938 KiB, 97.18% compilation time) 0.008342 seconds (4.36 k allocations: 249.328 KiB, 98.13% compilation time) 0.006812 seconds (120 allocations: 6.703 KiB, 98.32% compilation time) 0.007149 seconds (181 allocations: 47.070 KiB, 97.14% compilation time) 0.007770 seconds (1.53 k allocations: 73.047 KiB, 97.02% compilation time) 0.000194 seconds (175 allocations: 8.719 KiB) 0.000097 seconds (93 allocations: 6.156 KiB) 0.000041 seconds (93 allocations: 6.156 KiB) 0.252793 seconds (140.70 k allocations: 8.012 MiB, 99.83% compilation time) 2.054882 seconds (1.10 M allocations: 65.547 MiB, 99.96% compilation time) 0.091980 seconds (63.62 k allocations: 3.677 MiB, 99.80% compilation time) 0.000227 seconds (174 allocations: 9.078 KiB) 2.103074 seconds (1.16 M allocations: 71.040 MiB, 4.31% gc time, 99.99% compilation time) Test_pmutils 4.085307 seconds (3.96 M allocations: 226.552 MiB, 2.33% gc time, 99.85% compilation time) 0.000194 seconds (152 allocations: 26.555 KiB) 2.430271 seconds (1.14 M allocations: 66.325 MiB, 3.40% gc time, 99.84% compilation time) cvals = ComplexF64[-Inf + 0.0im, 2.120369787642343e-16 + 0.0im] -- No one digit accuracy!!! 0.689461 seconds (3.98 M allocations: 279.924 MiB, 27.59% gc time, 10.84% compilation time) 0.061389 seconds (240.97 k allocations: 10.194 MiB, 46.84% compilation time) 0.456602 seconds (3.94 M allocations: 275.119 MiB, 17.12% gc time, 2.51% compilation time) 0.052732 seconds (200.26 k allocations: 9.253 MiB, 36.61% compilation time) 58.894580 seconds (53.47 M allocations: 2.937 GiB, 2.39% gc time, 99.89% compilation time) solver = non-stiff 0.455825 seconds (3.94 M allocations: 277.722 MiB, 20.19% gc time) solver = stiff 18.072424 seconds (37.53 M allocations: 2.524 GiB, 10.67% gc time, 75.02% compilation time) solver = linear 4.786347 seconds (4.50 M allocations: 282.456 MiB, 1.53% gc time, 95.40% compilation time) solver = noidea 16.223973 seconds (22.08 M allocations: 1.442 GiB, 4.47% gc time, 95.92% compilation time) solver = non-stiff 0.033116 seconds (224.57 k allocations: 9.391 MiB) solver = stiff 0.267869 seconds (1.43 M allocations: 53.525 MiB, 26.65% compilation time) solver = linear 2.445943 seconds (2.05 M allocations: 121.687 MiB, 97.57% compilation time) solver = noidea 0.070708 seconds (283.59 k allocations: 13.268 MiB, 45.90% compilation time) solver = non-stiff 0.093883 seconds (194.19 k allocations: 8.657 MiB, 61.10% compilation time: 26% of which was recompilation) solver = stiff 0.068311 seconds (384.83 k allocations: 15.830 MiB) solver = linear 0.052780 seconds (166.60 k allocations: 8.301 MiB) solver = noidea 0.034323 seconds (210.08 k allocations: 10.192 MiB) solver = non-stiff 0.083360 seconds (221.86 k allocations: 8.617 MiB, 56.74% compilation time) 11.325134 seconds (38.23 M allocations: 1.399 GiB, 2.93% gc time, 10.11% compilation time) 10.484350 seconds (37.21 M allocations: 1.337 GiB, 3.46% gc time, 0.60% compilation time) solver = stiff 0.079907 seconds (482.78 k allocations: 17.045 MiB) 25.310994 seconds (96.79 M allocations: 3.481 GiB, 3.03% gc time, 0.34% compilation time) 27.689203 seconds (96.78 M allocations: 3.476 GiB, 2.89% gc time) solver = linear 0.078929 seconds (180.66 k allocations: 8.565 MiB) 6.122155 seconds (12.42 M allocations: 506.947 MiB, 2.72% gc time, 49.17% compilation time) 3.476489 seconds (10.67 M allocations: 393.909 MiB, 3.32% gc time) solver = noidea 0.034956 seconds (250.16 k allocations: 10.754 MiB) 11.346908 seconds (37.24 M allocations: 1.343 GiB, 15.24% gc time, 0.28% compilation time) 9.964571 seconds (37.23 M allocations: 1.338 GiB, 2.29% gc time) 0.333450 seconds (1.32 M allocations: 48.701 MiB) Test_pmops "periodic function matrix operations" = "periodic function matrix operations" 2×2 PeriodicMatrices.PeriodicFunctionMatrix{:c, Float64} Period: 6.283185307179586 #Subperiods: 1 #58 (generic function with 1 method) 2×2 PeriodicMatrices.PeriodicFunctionMatrix{:c, Float64} Period: 2.0 #Subperiods: 1 Constant matrix = 0.19781425712569656 0.0725416002969188 0.3305171764746716 0.5860026283037866 "Harmonic array operations" = "Harmonic array operations" 2×2 PeriodicMatrices.HarmonicArray{:c, Float64} Period: 6.283185307179586 #Subperiods: 1 #Harmonics: 1 Constant term = 0.5072110707811663 0.8787014924739432 0.46777889872867273 0.9178328928260496 Harmonic #1: cos(1.0t) term = 0.616479068622217 0.5389532398001257 0.5340712378019462 0.34908742971155315 Harmonic #1: sin(1.0t) term = 0.526249807016041 0.6768262643157625 0.2264036346885281 0.8406456014084157 2×2 PeriodicMatrices.HarmonicArray{:c, Float64} Period: 3.141592653589793 #Subperiods: 1 #Harmonics: 2 Constant term = 0.7232352980297695 0.8979969360392349 0.45015086342703947 0.3974622584974501 Harmonic #1: cos(2.0t) term = 0.6228327322442121 0.8611640375786609 0.7049953933510615 0.034079859021054704 Harmonic #1: sin(2.0t) term = 0.31578921757925615 0.9936990062517973 0.6711798261466864 0.018858865123116186 Harmonic #2: sin(4.0t) term = 0.35126114811676323 0.9026625447992389 0.2292561782466528 0.64840719190232 "symbolic operations" = "symbolic operations" 2×2 PeriodicMatrices.PeriodicSymbolicMatrix{:c, Float64, Matrix{Symbolics.Num}} Period: 6.283185307179586 #Subperiods: 1 Periodic time-varying matrix = 0.836213844165149 + 0.6149187847291426sin(t) + 0.9951229383568685cos(t) … 0.35463116814466344 + 0.8983900022285929sin(t) + 0.655782164633275cos(t) 0.4352293858465943 + 0.757810342413721sin(t) + 0.24361587144586405cos(t) 0.5207503212690556 + 0.7619495851632618sin(t) + 0.2239361821536262cos(t) 2×2 PeriodicMatrices.PeriodicSymbolicMatrix{:c, Symbolics.Num, Matrix{Symbolics.Num}} Period: 10.0 #Subperiods: 1 Constant matrix = 0.1813904972911996 0.7468384304379073 0.46187005574528306 0.9236961917323387 "Fourier series operations" = "Fourier series operations" 2×2 PeriodicMatrices.FourierFunctionMatrix{:c, Float64, ApproxFunBase.Fun} Period: 6.283185307179586 #Subperiods: 1 #Harmonics: 1 Constant term = 0.02970661667737473 0.5244045315239974 0.9190648821044942 0.8220720291939316 Harmonic #1: cos(1.0t) term = 0.07340179628612217 0.7810093197375358 0.9633763349982456 0.6426707446133156 Harmonic #1: sin(1.0t) term = 0.13584616417473672 0.039534232454798306 0.3822395903635562 0.35513239536076435 0.565436 seconds (354.01 k allocations: 20.926 MiB, 99.66% compilation time) 0.011145 seconds (9.03 k allocations: 771.047 KiB, 82.75% compilation time) 0.000478 seconds (6.57 k allocations: 643.031 KiB) 0.000492 seconds (6.42 k allocations: 637.594 KiB) 0.000435 seconds (6.42 k allocations: 637.594 KiB) 0.000444 seconds (6.57 k allocations: 642.938 KiB) 0.011027 seconds (9.03 k allocations: 771.078 KiB, 84.09% compilation time) 0.000109 seconds (622 allocations: 44.484 KiB) 0.007542 seconds (2.28 k allocations: 128.484 KiB, 94.69% compilation time) 7.313477 seconds (9.65 M allocations: 560.342 MiB, 2.17% gc time, 99.93% compilation time) 0.293152 seconds (201.95 k allocations: 12.358 MiB, 98.25% compilation time) 0.006056 seconds (53.53 k allocations: 3.801 MiB) 0.633192 seconds (374.47 k allocations: 21.653 MiB, 97.73% compilation time) 0.178311 seconds (62.14 k allocations: 3.321 MiB, 99.32% compilation time) 0.001377 seconds (6.58 k allocations: 643.109 KiB) 0.001304 seconds (6.42 k allocations: 637.594 KiB) 0.000783 seconds (6.42 k allocations: 637.594 KiB) 0.001145 seconds (6.58 k allocations: 643.094 KiB) 0.000959 seconds (6.58 k allocations: 643.141 KiB) 2×2 PeriodicMatrices.PeriodicTimeSeriesMatrix{:c, Float64} Period: 6.283185307179586 #Subperiods: 1 Sampling time: 1.2566370614359172 [1] = 0.7094771045963391 0.6328130989101449 0.4397761693093625 0.25468541095023345 [2] = 0.5183187574211394 0.9209502749639181 0.900686544010785 0.4666596770314312 [3] = 0.2536933076652469 0.016615769851158313 0.1967752574677326 0.5581688986909538 [4] = 0.5746723260687967 0.02570751056552434 0.7137558832966256 0.2843055034308426 [5] = 0.4712607332196964 0.25328772926519494 0.4310487115848626 0.6786365519356373 2×2 PeriodicMatrices.PeriodicTimeSeriesMatrix{:c, Float32} Period: 6.283185307179586 #Subperiods: 1 Sampling time: 6.283185307179586 [1] = 0.6536156f0 0.33894503f0 0.6783305f0 0.36374426f0 2×2 PeriodicMatrices.PeriodicSwitchingMatrix{:c, Float32} Period: 5.0 #Subperiods: 1 Switching times: [0.0, 2.5] [1] = 0.51836675f0 0.7645166f0 0.103090644f0 0.9400145f0 [2] = 0.51245576f0 0.1413207f0 0.82436866f0 0.64676875f0 ┌ Warning: No derivative function available for a periodic switching matrix └ @ PeriodicMatrices ~/.julia/packages/PeriodicMatrices/JAuIN/src/pmops.jl:2738 ┌ Warning: incommensurate sampling times: ns = 128 is used └ @ PeriodicMatrices ~/.julia/packages/PeriodicMatrices/JAuIN/src/types/PeriodicMatrix.jl:1376 5×5 PeriodicMatrices.PeriodicArray{:d, Float64} Period: 3.0 #Subperiods: 1 Sampling time: 1.0 [:,:,1] = 0.4853531574253827 0.1318608336833459 … 0.31763589909594453 0.08314987659686363 0.40332194032128604 0.45713985645291844 0.06368838956129269 0.15770905155416004 0.05949894636887959 0.1195632838322076 0.14472023074844814 0.46619720745586446 0.3290240434911669 0.352572257305296 0.0907245423177962 [:,:,2] = 0.4482220430203018 0.26559057947353315 … 0.27910351157068475 0.1584252026372901 0.06816302140386837 0.3930019082994956 0.3485430316850588 0.33383710324833404 0.20444700546914296 0.4384765997987403 0.23027521137894147 0.18694732903000782 0.0799794279909507 0.4569375054948765 0.3034847795696894 [:,:,3] = 0.060382178097204864 0.018294388423055752 … 0.19612265297679016 0.17571459794245498 0.27854498475794703 0.49080607971610224 0.35702413141009454 0.09017532727692368 0.10656015162519294 0.42988271054287697 0.35651540224702954 0.1011256152604082 0.17524341766323592 0.27810811363954385 0.07322643831082426 5×5 PeriodicMatrices.PeriodicMatrix{:d, Float64} Period: 3.0 #Subperiods: 1 Sampling time: 1.0 [1] = 0.43586385436039476 0.2193695589266394 … 0.18830654817201858 0.4528896012080422 0.21637075243824688 0.013594991109255716 0.17220016755087214 0.3346987339827621 0.013851669156109137 0.0381432089532015 0.36179221511385545 0.1877415477544303 0.06215141847092637 0.07696024700501053 0.37794898755456824 [2] = 0.3833151278170293 0.05329615741618554 … 0.28267713819284296 0.22887795217012058 0.2613744458794443 0.17639490855497958 0.2848588512096095 0.284781040683725 0.014262224974316617 0.33342265675232635 0.030513648879872513 0.07122754588229685 0.0443374419140497 0.16034697160117045 0.0967409657681556 [3] = 0.09602440741340101 0.35960879200539786 … 0.4748822967020407 0.15734279333266005 0.28882899914177185 0.34835843195614125 0.18573535713922634 0.10376451466374403 0.34343225867526894 0.13941682886129775 0.17952705621690196 0.35432950396260343 0.40086144270265633 0.04354160055931039 0.0976725843627031 [3, 3, 4, 1, 5]×[5, 3, 3, 4, 1] PeriodicMatrices.PeriodicMatrix{:d, Float64} Period: 5.0 #Subperiods: 1 Sampling time: 1.0 [1] = 3×5 Matrix 0.6453659407182212 0.8562360133455147 … 0.5746410024861452 0.8260967371190937 0.9275815163357382 0.5492120336856576 0.9568905568623284 0.5801391266494459 0.30579092671007235 [2] = 3×3 Matrix 0.7601877559630501 0.5916210654248916 0.9105340532936492 0.8361025025207707 0.4355557677269629 0.16967032398709858 0.6565006775428907 0.4251797427226247 0.07900402061387135 [3] = 4×3 Matrix 0.4192101552231656 0.5945000889275782 0.7486630682772161 0.7064446564369652 0.901105218881657 0.8748880451312071 0.9391169572522285 0.5920482160563857 0.38805123056931445 0.20450808014659883 0.2541258403954033 0.11667589919548049 [4] = 1×4 Matrix 0.9206088080624186 0.48367410271117994 … 0.15756276231568 [5] = 5×1 Matrix 0.1729179731014472 0.9613317973387525 0.21225712981222566 0.7678038301143966 0.8580433275804535 2×2 PeriodicMatrices.SwitchingPeriodicMatrix{:d, Float64} Period: 10.0 #Subperiods: 1 Sampling time: 0.5 Discrete switching moments: [1, 11, 16] Switching times: [0.0, 5.0, 7.5] [1] = 0.010325808824960203 0.41138236509709125 0.17287261126878223 0.2508294998973614 [2] = 0.34494701388375654 0.19542472213271084 0.2892084187949032 0.06547319617216268 [3] = 0.11031747357106791 0.16545194768922522 0.2595601963479997 0.008684040902269818 [3, 3, 4, 1, 5]×[5, 3, 3, 4, 1] PeriodicMatrices.SwitchingPeriodicMatrix{:d, Float64} Period: 10.0 #Subperiods: 1 Sampling time: 1.0 Discrete switching moments: [1, 3, 5, 6, 8] Switching times: [0.0, 2.0, 4.0, 5.0, 7.0] [1] = 3×5 Matrix 0.1962380126878861 0.8235903567075314 … 0.4759675056935203 0.9887941035390126 0.03202972544530991 0.3177666090443947 0.8590754654924093 0.19546630448942814 0.517536048051138 [2] = 3×3 Matrix 0.4833786104094564 0.05549144534104855 0.7469302816411625 0.860898014888008 0.8578840927986658 0.41150235543663793 0.1807255957537458 0.7141228563926417 0.844517572243325 [3] = 4×3 Matrix 0.15615384349326866 0.2720462940632823 0.0018650583086181616 0.6312304174735095 0.9432673146095342 0.19920659829209553 0.19492101938626083 0.8469808363389314 0.47424051328874306 0.8374716312068298 0.5537859349402698 0.4669810627931662 [4] = 1×4 Matrix 0.23306405773477779 0.31523106044480176 … 0.5911153623490153 [5] = 5×1 Matrix 0.9427276267914786 0.34426836785994297 0.5262252646383271 0.5085377587838062 0.07536592248374807 2×2 PeriodicMatrices.SwitchingPeriodicArray{:d, Float64} Period: 10.0 #Subperiods: 1 Sampling time: 0.5 Discrete switching moments: [1, 11, 16] Switching times: [0.0, 5.0, 7.5] [:,:,1] = 0.057584762001671286 0.21642112422631332 0.3644851211982073 0.2132626588436627 [:,:,2] = 0.49415676075357173 0.19939633617545255 0.4462440236997827 0.4504832607736962 [:,:,3] = 0.10801908449193676 0.31582225295582506 0.12460342719003048 0.06778021713858062 Test Summary: | Pass Total Time Test PeriodicMatrices | 873 873 23m34.5s Testing PeriodicMatrices tests passed Testing completed after 1733.33s PkgEval succeeded after 2717.43s