Manifest.toml

# This file is machine-generated - editing it directly is not advised

[[AbstractFFTs]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "051c95d6836228d120f5f4b984dd5aba1624f716"
uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
version = "0.5.0"

[[ApproxFun]]
deps = ["AbstractFFTs", "ApproxFunBase", "ApproxFunFourier", "ApproxFunOrthogonalPolynomials", "ApproxFunSingularities", "Calculus", "DomainSets", "DualNumbers", "FFTW", "FastTransforms", "LinearAlgebra", "RecipesBase", "Reexport"]
git-tree-sha1 = "3bd77aef8177c523341466ddafa80a0ceddce67b"
uuid = "28f2ccd6-bb30-5033-b560-165f7b14dc2f"
version = "0.11.9"

[[ApproxFunBase]]
deps = ["AbstractFFTs", "BandedMatrices", "BlockArrays", "BlockBandedMatrices", "Calculus", "DSP", "DomainSets", "DualNumbers", "FFTW", "FastGaussQuadrature", "FillArrays", "InfiniteArrays", "IntervalSets", "LazyArrays", "LinearAlgebra", "LowRankApprox", "SparseArrays", "SpecialFunctions", "StaticArrays", "Statistics", "Test", "ToeplitzMatrices"]
git-tree-sha1 = "1e16001890bcaa058fcdca357564e2ee91d77cea"
uuid = "fbd15aa5-315a-5a7d-a8a4-24992e37be05"
version = "0.3.1"

[[ApproxFunFourier]]
deps = ["AbstractFFTs", "ApproxFunBase", "DomainSets", "FFTW", "FastTransforms", "InfiniteArrays", "IntervalSets", "LinearAlgebra", "Reexport"]
git-tree-sha1 = "2cfbb9bf45ba0ba2f0a29f9c206b27a4e7199f2e"
uuid = "59844689-9c9d-51bf-9583-5b794ec66d30"
version = "0.2.1"

[[ApproxFunOrthogonalPolynomials]]
deps = ["AbstractFFTs", "ApproxFunBase", "BandedMatrices", "BlockArrays", "BlockBandedMatrices", "DomainSets", "FFTW", "FastGaussQuadrature", "FastTransforms", "FillArrays", "IntervalSets", "LinearAlgebra", "Reexport", "SpecialFunctions", "Statistics"]
git-tree-sha1 = "bb7faf853a51cb2020aa3efb2feae8065df1386a"
uuid = "b70543e2-c0d9-56b8-a290-0d4d6d4de211"
version = "0.3.1"

[[ApproxFunSingularities]]
deps = ["ApproxFunBase", "ApproxFunOrthogonalPolynomials", "DomainSets", "IntervalSets", "LinearAlgebra", "Reexport", "Statistics"]
git-tree-sha1 = "9d3132385ca49e9e444e70c1a2841725d3c04f9b"
uuid = "f8fcb915-6b99-5be2-b79a-d6dbef8e6e7e"
version = "0.1.7"

[[ArrayLayouts]]
deps = ["FillArrays", "LinearAlgebra"]
git-tree-sha1 = "bc779df8d73be70e4e05a63727d3a4dfb4c52b1f"
uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
version = "0.1.5"

[[BandedMatrices]]
deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "Random", "SparseArrays"]
git-tree-sha1 = "db5b98c8ea6ee6dc01cad55a79d5277bddfc3c66"
uuid = "aae01518-5342-5314-be14-df237901396f"
version = "0.14.2"

[[Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"

[[BinaryProvider]]
deps = ["Libdl", "SHA"]
git-tree-sha1 = "5b08ed6036d9d3f0ee6369410b830f8873d4024c"
uuid = "b99e7846-7c00-51b0-8f62-c81ae34c0232"
version = "0.5.8"

[[BlockArrays]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "54a8bc44883dc33002bd954ba6d336ee86ec62d1"
uuid = "8e7c35d0-a365-5155-bbbb-fb81a777f24e"
version = "0.11.1"

[[BlockBandedMatrices]]
deps = ["ArrayLayouts", "BandedMatrices", "BlockArrays", "Distributed", "FillArrays", "LinearAlgebra", "MatrixFactorizations", "Pkg", "Random", "SharedArrays", "SparseArrays", "Statistics", "Test"]
git-tree-sha1 = "0c6a7e6e2dc861205f99d1312364568b07b8e792"
uuid = "ffab5731-97b5-5995-9138-79e8c1846df0"
version = "0.7.1"

[[Calculus]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad"
uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9"
version = "0.5.1"

[[ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "b9de8dc6106e09c79f3f776c27c62360d30e5eb8"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.9.1"

[[Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "InteractiveUtils", "Printf", "Reexport"]
git-tree-sha1 = "177d8b959d3c103a6d57574c38ee79c81059c31b"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.11.2"

[[CompilerSupportLibraries_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "b57c5d019367c90f234a7bc7e24ff0a84971da5d"
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
version = "0.2.0+1"

[[Contour]]
deps = ["LinearAlgebra", "StaticArrays", "Test"]
git-tree-sha1 = "b974e164358fea753ef853ce7bad97afec15bb80"
uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
version = "0.5.1"

[[DSP]]
deps = ["FFTW", "LinearAlgebra", "Polynomials", "Random", "Reexport", "SpecialFunctions", "Statistics"]
git-tree-sha1 = "fa9564dc41fb91716c2e3353fe447f268a08f14d"
uuid = "717857b8-e6f2-59f4-9121-6e50c889abd2"
version = "0.6.2"

[[DataAPI]]
git-tree-sha1 = "674b67f344687a88310213ddfa8a2b3c76cc4252"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.1.0"

[[DataStructures]]
deps = ["InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "b7720de347734f4716d1815b00ce5664ed6bbfd4"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.17.9"

[[Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"

[[DelimitedFiles]]
deps = ["Mmap"]
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"

[[Distributed]]
deps = ["Random", "Serialization", "Sockets"]
uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"

[[DomainSets]]
deps = ["IntervalSets", "LinearAlgebra", "StaticArrays", "Statistics", "Test"]
git-tree-sha1 = "591ad14ca2c777b07463b6bde3afb2bfe852e1be"
uuid = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
version = "0.1.0"

[[DualNumbers]]
deps = ["Calculus", "LinearAlgebra", "NaNMath", "SpecialFunctions", "Test"]
git-tree-sha1 = "e178a6768dad879ff1abfc1c612406856bb06ce0"
uuid = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74"
version = "0.6.2"

[[FFMPEG]]
deps = ["BinaryProvider", "Libdl"]
git-tree-sha1 = "9143266ba77d3313a4cf61d8333a1970e8c5d8b6"
uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
version = "0.2.4"

[[FFTW]]
deps = ["AbstractFFTs", "FFTW_jll", "IntelOpenMP_jll", "Libdl", "LinearAlgebra", "MKL_jll", "Reexport"]
git-tree-sha1 = "109d82fa4b00429f9afcce873e9f746f11f018d3"
uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
version = "1.2.0"

[[FFTW_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "05674f209a6e3387dd103a945b0113eeb64b1a58"
uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
version = "3.3.9+3"

[[FastGaussQuadrature]]
deps = ["LinearAlgebra", "SpecialFunctions"]
git-tree-sha1 = "c139e3f4c75dc489a493627c7ee44befc177420f"
uuid = "442a2c76-b920-505d-bb47-c5924d526838"
version = "0.4.2"

[[FastTransforms]]
deps = ["AbstractFFTs", "BinaryProvider", "DSP", "FFTW", "FastGaussQuadrature", "FastTransforms_jll", "Libdl", "LinearAlgebra", "Reexport", "SpecialFunctions", "Test", "ToeplitzMatrices"]
git-tree-sha1 = "21d02133d23e6c1ff55af346502b5814fd4372ec"
uuid = "057dd010-8810-581a-b7be-e3fc3b93f78c"
version = "0.8.2"

[[FastTransforms_jll]]
deps = ["CompilerSupportLibraries_jll", "FFTW_jll", "Libdl", "MPFR_jll", "OpenBLAS_jll", "Pkg"]
git-tree-sha1 = "4e4aa162f77a90c270b63cd8f9558e68a442a2fb"
uuid = "34b6f7d7-08f9-5794-9e10-3819e4c7e49a"
version = "0.2.13+0"

[[FillArrays]]
deps = ["LinearAlgebra", "Random", "SparseArrays"]
git-tree-sha1 = "fec413d4fc547992eb62a5c544cedb6d7853c1f5"
uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
version = "0.8.4"

[[FixedPointNumbers]]
git-tree-sha1 = "d14a6fa5890ea3a7e5dcab6811114f132fec2b4b"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.6.1"

[[GMP_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "a8fd1db6b2d22cf24f3c3889bd21016ba2089c9c"
uuid = "781609d7-10c4-51f6-84f2-b8444358ff6d"
version = "6.1.2+4"

[[GR]]
deps = ["Base64", "DelimitedFiles", "LinearAlgebra", "Printf", "Random", "Serialization", "Sockets", "Test"]
git-tree-sha1 = "c690c2ab22ac9ee323d9966deae61a089362b25c"
uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
version = "0.44.0"

[[GeometryTypes]]
deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "StaticArrays"]
git-tree-sha1 = "a96baa00f5ac755689c82c29bc3395e161337c69"
uuid = "4d00f742-c7ba-57c2-abde-4428a4b178cb"
version = "0.7.7"

[[InfiniteArrays]]
deps = ["DSP", "FillArrays", "LazyArrays", "LinearAlgebra", "SparseArrays", "Statistics"]
git-tree-sha1 = "7d229adadd316bf0c6e9f3d393bedd4e15964763"
uuid = "4858937d-0d70-526a-a4dd-2d5cb5dd786c"
version = "0.6.1"

[[IntelOpenMP_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "fb8e1c7a5594ba56f9011310790e03b5384998d6"
uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
version = "2018.0.3+0"

[[InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"

[[IntervalSets]]
deps = ["Dates", "Statistics"]
git-tree-sha1 = "4214b48a62eb8f2c292b2ee34a508c256c0cdbc9"
uuid = "8197267c-284f-5f27-9208-e0e47529a953"
version = "0.3.2"

[[JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "b34d7cef7b337321e97d22242c3c2b91f476748e"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.0"

[[LazyArrays]]
deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "MacroTools", "StaticArrays"]
git-tree-sha1 = "6e818d550c2158def13c236c3b825fc14995160c"
uuid = "5078a376-72f3-5289-bfd5-ec5146d43c02"
version = "0.15.0"

[[LibGit2]]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"

[[Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"

[[LinearAlgebra]]
deps = ["Libdl"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

[[Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"

[[LowRankApprox]]
deps = ["FFTW", "FillArrays", "LinearAlgebra", "Nullables", "Random", "SparseArrays", "Test"]
git-tree-sha1 = "1963361c4e8a837b9ca7cca3f45372f953e6b0ed"
uuid = "898213cb-b102-5a47-900c-97e73b919f73"
version = "0.4.0"

[[MKL_jll]]
deps = ["IntelOpenMP_jll", "Libdl", "Pkg"]
git-tree-sha1 = "720629cc8cbd12c146ca01b661fd1a6cf66e2ff4"
uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
version = "2019.0.117+2"

[[MPFR_jll]]
deps = ["GMP_jll", "Libdl", "Pkg"]
git-tree-sha1 = "584d55157951b8e029a1dafa70ee639d24e25644"
uuid = "3a97d323-0669-5f0c-9066-3539efd106a3"
version = "4.0.2+2"

[[MacroTools]]
deps = ["DataStructures", "Markdown", "Random"]
git-tree-sha1 = "e2fc7a55bb2224e203bbd8b59f72b91323233458"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.3"

[[Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"

[[MatrixFactorizations]]
deps = ["ArrayLayouts", "LinearAlgebra", "Random"]
git-tree-sha1 = "f9c83c8ffb0399575106fc6349aed8608d98134b"
uuid = "a3b82374-2e81-5b9e-98ce-41277c0e4c87"
version = "0.2.1"

[[Measures]]
git-tree-sha1 = "e498ddeee6f9fdb4551ce855a46f54dbd900245f"
uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
version = "0.3.1"

[[Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "de0a5ce9e5289f27df672ffabef4d1e5861247d5"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "0.4.3"

[[Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"

[[NaNMath]]
git-tree-sha1 = "928b8ca9b2791081dc71a51c55347c27c618760f"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "0.3.3"

[[Nullables]]
git-tree-sha1 = "8f87854cc8f3685a60689d8edecaa29d2251979b"
uuid = "4d1e1d77-625e-5b40-9113-a560ec7a8ecd"
version = "1.0.0"

[[OpenBLAS_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "3a6e5767e8ae022871c19162cc3ecd80748bd3dc"
uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
version = "0.3.7+4"

[[OpenSpecFun_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "65f672edebf3f4e613ddf37db9dcbd7a407e5e90"
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
version = "0.5.3+1"

[[OrderedCollections]]
deps = ["Random", "Serialization", "Test"]
git-tree-sha1 = "c4c13474d23c60d20a67b217f1d7f22a40edf8f1"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.1.0"

[[Parsers]]
deps = ["Dates", "Test"]
git-tree-sha1 = "0139ba59ce9bc680e2925aec5b7db79065d60556"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "0.3.10"

[[Pkg]]
deps = ["Dates", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Test", "UUIDs"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"

[[PlotThemes]]
deps = ["PlotUtils", "Requires", "Statistics"]
git-tree-sha1 = "df772cc7c78862da96af1ee85cd0111c6640e44e"
uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
version = "1.0.1"

[[PlotUtils]]
deps = ["Colors", "Dates", "Printf", "Random", "Reexport"]
git-tree-sha1 = "22bd7d0a1f4665d66317d6c89a57f6bba9f2560d"
uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
version = "0.6.2"

[[Plots]]
deps = ["Base64", "Contour", "Dates", "FFMPEG", "FixedPointNumbers", "GR", "GeometryTypes", "JSON", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "Printf", "REPL", "Random", "RecipesBase", "Reexport", "Requires", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs"]
git-tree-sha1 = "efbe466a790d7e8a5c4b5ee1601c0c8edc99780b"
uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
version = "0.28.4"

[[Polynomials]]
deps = ["LinearAlgebra", "RecipesBase"]
git-tree-sha1 = "ae71c2329790af97b7682b11241b3609e4d48626"
uuid = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"
version = "0.6.0"

[[Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"

[[REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"

[[Random]]
deps = ["Serialization"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

[[RecipesBase]]
git-tree-sha1 = "7bdce29bc9b2f5660a6e5e64d64d91ec941f6aa2"
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
version = "0.7.0"

[[Reexport]]
deps = ["Pkg"]
git-tree-sha1 = "7b1d07f411bc8ddb7977ec7f377b97b158514fe0"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "0.2.0"

[[Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "999513b7dea8ac17359ed50ae8ea089e4464e35e"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.0.0"

[[SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"

[[Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"

[[SharedArrays]]
deps = ["Distributed", "Mmap", "Random", "Serialization"]
uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"

[[Showoff]]
deps = ["Dates"]
git-tree-sha1 = "e032c9df551fb23c9f98ae1064de074111b7bc39"
uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
version = "0.3.1"

[[Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"

[[SortingAlgorithms]]
deps = ["DataStructures", "Random", "Test"]
git-tree-sha1 = "03f5898c9959f8115e30bc7226ada7d0df554ddd"
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
version = "0.3.1"

[[SparseArrays]]
deps = ["LinearAlgebra", "Random"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"

[[SpecialFunctions]]
deps = ["OpenSpecFun_jll"]
git-tree-sha1 = "268052ee908b2c086cc0011f528694f02f3e2408"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "0.9.0"

[[StaticArrays]]
deps = ["LinearAlgebra", "Random", "Statistics"]
git-tree-sha1 = "5a3bcb6233adabde68ebc97be66e95dcb787424c"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "0.12.1"

[[Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"

[[StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics"]
git-tree-sha1 = "c53e809e63fe5cf5de13632090bc3520649c9950"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.32.0"

[[Test]]
deps = ["Distributed", "InteractiveUtils", "Logging", "Random"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[ToeplitzMatrices]]
deps = ["AbstractFFTs", "FFTW", "LinearAlgebra", "StatsBase"]
git-tree-sha1 = "5351f20c159d02fa1372076d0731a38066efd137"
uuid = "c751599d-da0a-543b-9d20-d0a503d91d24"
version = "0.6.0"

[[UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"

[[Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"