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"

[[AbstractTrees]]
deps = ["Markdown"]
git-tree-sha1 = "33e450545eaf7699da1a6e755f9ea65f14077a45"
uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
version = "0.3.3"

[[Adapt]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "42c42f2221906892ceb765dbcb1a51deeffd86d7"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "2.3.0"

[[ArrayInterface]]
deps = ["LinearAlgebra", "Requires", "SparseArrays"]
git-tree-sha1 = "8dda4b50619df45559e6e49d8b72b706ee213923"
uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
version = "2.14.3"

[[ArrayLayouts]]
deps = ["Compat", "FillArrays", "LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "a577e27915fdcb3f6b96118b56655b38e3b466f2"
uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
version = "0.4.12"

[[Artifacts]]
deps = ["Pkg"]
git-tree-sha1 = "c30985d8821e0cd73870b17b0ed0ce6dc44cb744"
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
version = "1.3.0"

[[BFloat16s]]
deps = ["LinearAlgebra", "Test"]
git-tree-sha1 = "4af69e205efc343068dc8722b8dfec1ade89254a"
uuid = "ab4f0b2a-ad5b-11e8-123f-65d77653426b"
version = "0.1.0"

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

[[BinaryProvider]]
deps = ["Libdl", "Logging", "SHA"]
git-tree-sha1 = "ecdec412a9abc8db54c0efc5548c64dfce072058"
uuid = "b99e7846-7c00-51b0-8f62-c81ae34c0232"
version = "0.5.10"

[[Bzip2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "c3598e525718abcc440f69cc6d5f60dda0a1b61e"
uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
version = "1.0.6+5"

[[CEnum]]
git-tree-sha1 = "215a9aa4a1f23fbd05b92769fdd62559488d70e9"
uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
version = "0.4.1"

[[CUDA]]
deps = ["AbstractFFTs", "Adapt", "BFloat16s", "CEnum", "DataStructures", "ExprTools", "GPUArrays", "GPUCompiler", "LLVM", "Libdl", "LinearAlgebra", "Logging", "MacroTools", "NNlib", "Pkg", "Printf", "Random", "Reexport", "Requires", "SparseArrays", "Statistics", "TimerOutputs"]
git-tree-sha1 = "7663b61782b569b03fba91d330a5ed2f86cd4cb8"
uuid = "052768ef-5323-5732-b1bb-66c8b64840ba"
version = "2.3.0"

[[Cairo_jll]]
deps = ["Artifacts", "Bzip2_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "e2f47f6d8337369411569fd45ae5753ca10394c6"
uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
version = "1.16.0+6"

[[ChainRules]]
deps = ["ChainRulesCore", "ChainRulesTestUtils", "Compat", "LinearAlgebra", "Random", "Reexport", "Requires", "Statistics"]
git-tree-sha1 = "f034ac3dac255b543788bc170713f40a87efe9bf"
uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
version = "0.7.34"

[[ChainRulesCore]]
deps = ["LinearAlgebra", "MuladdMacro", "SparseArrays"]
git-tree-sha1 = "1e314c23fc3471644ac068d539053a3e6f91321e"
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
version = "0.9.22"

[[ChainRulesTestUtils]]
deps = ["ChainRulesCore", "Compat", "FiniteDifferences", "LinearAlgebra", "Random", "Test"]
git-tree-sha1 = "1acd5ce374b8fe74fa01a0dfc5ca4f42b3b070bf"
uuid = "cdddcdb0-9152-4a09-a978-84456f9df70a"
version = "0.5.4"

[[CodecZlib]]
deps = ["TranscodingStreams", "Zlib_jll"]
git-tree-sha1 = "ded953804d019afa9a3f98981d99b33e3db7b6da"
uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
version = "0.7.0"

[[ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "4bffea7ed1a9f0f3d1a131bbcd4b925548d75288"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.10.9"

[[Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "InteractiveUtils", "Reexport"]
git-tree-sha1 = "008d6bc68dea6beb6303fdc37188cb557391ebf2"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.12.4"

[[CommonSubexpressions]]
deps = ["MacroTools", "Test"]
git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
version = "0.3.0"

[[Compat]]
deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
git-tree-sha1 = "a706ff10f1cd8dab94f59fd09c0e657db8e77ff0"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "3.23.0"

[[CompilerSupportLibraries_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "8e695f735fca77e9708e795eda62afdb869cbb70"
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
version = "0.3.4+0"

[[DataAPI]]
git-tree-sha1 = "ad84f52c0b8f05aa20839484dbaf01690b41ff84"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.4.0"

[[DataStructures]]
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "fb0aa371da91c1ff9dc7fbed6122d3e411420b9c"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.18.8"

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

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

[[DiffResults]]
deps = ["StaticArrays"]
git-tree-sha1 = "c18e98cba888c6c25d1c3b048e4b3380ca956805"
uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
version = "1.0.3"

[[DiffRules]]
deps = ["NaNMath", "Random", "SpecialFunctions"]
git-tree-sha1 = "214c3fcac57755cfda163d91c58893a8723f93e9"
uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
version = "1.0.2"

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

[[DocStringExtensions]]
deps = ["LibGit2", "Markdown", "Pkg", "Test"]
git-tree-sha1 = "50ddf44c53698f5e784bbebb3f4b21c5807401b1"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.8.3"

[[Expat_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "1402e52fcda25064f51c77a9655ce8680b76acf0"
uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
version = "2.2.7+6"

[[ExprTools]]
git-tree-sha1 = "10407a39b87f29d47ebaca8edbc75d7c302ff93e"
uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
version = "0.1.3"

[[FillArrays]]
deps = ["LinearAlgebra", "Random", "SparseArrays"]
git-tree-sha1 = "c1cf9e87a5c45f0c05dc31ae95757f706e70865a"
uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
version = "0.10.1"

[[FiniteDifferences]]
deps = ["ChainRulesCore", "LinearAlgebra", "Printf", "Random", "Richardson"]
git-tree-sha1 = "9bc8327853f21c9c53eac6935e51b65bcc28c492"
uuid = "26cc04aa-876d-5657-8c51-4c34ba976000"
version = "0.11.5"

[[FixedPointNumbers]]
deps = ["Statistics"]
git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.8.4"

[[Flux]]
deps = ["AbstractTrees", "Adapt", "CUDA", "CodecZlib", "Colors", "DelimitedFiles", "Functors", "Juno", "LinearAlgebra", "MacroTools", "NNlib", "Pkg", "Printf", "Random", "Reexport", "SHA", "Statistics", "StatsBase", "Test", "ZipFile", "Zygote"]
git-tree-sha1 = "b96dbd0954415f52279f7ef9b52c5a54ec3cf72d"
uuid = "587475ba-b771-5e3f-ad9e-33799f191a9c"
version = "0.11.2"

[[Fontconfig_jll]]
deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "35895cf184ceaab11fd778b4590144034a167a2f"
uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
version = "2.13.1+14"

[[ForwardDiff]]
deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "NaNMath", "Random", "SpecialFunctions", "StaticArrays"]
git-tree-sha1 = "8de2519a83c6c1c2442c2f481dd9a8364855daf4"
uuid = "f6369f11-7733-5829-9624-2563aa707210"
version = "0.10.14"

[[FreeType2_jll]]
deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "cbd58c9deb1d304f5a245a0b7eb841a2560cfec6"
uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
version = "2.10.1+5"

[[Functors]]
deps = ["MacroTools"]
git-tree-sha1 = "f40adc6422f548176bb4351ebd29e4abf773040a"
uuid = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
version = "0.1.0"

[[GPUArrays]]
deps = ["AbstractFFTs", "Adapt", "LinearAlgebra", "Printf", "Random", "Serialization"]
git-tree-sha1 = "2c1dd57bca7ba0b3b4bf81d9332aeb81b154ef4c"
uuid = "0c68f7d7-f131-5f86-a1c3-88cf8149b2d7"
version = "6.1.2"

[[GPUCompiler]]
deps = ["DataStructures", "InteractiveUtils", "LLVM", "Libdl", "Scratch", "Serialization", "TimerOutputs", "UUIDs"]
git-tree-sha1 = "c853c810b52a80f9aad79ab109207889e57f41ef"
uuid = "61eb1bfa-7361-4325-ad38-22787b887f55"
version = "0.8.3"

[[Gettext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "8c14294a079216000a0bdca5ec5a447f073ddc9d"
uuid = "78b55507-aeef-58d4-861c-77aaff3498b1"
version = "0.20.1+7"

[[Glib_jll]]
deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "04690cc5008b38ecbdfede949220bc7d9ba26397"
uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
version = "2.59.0+4"

[[Hwloc]]
deps = ["BinaryProvider", "Libdl"]
git-tree-sha1 = "bb23d264d76b82d1da80733cbb01bad8a11ae489"
uuid = "0e44f5e4-bd66-52a0-8798-143a42290a1d"
version = "1.0.3"

[[IRTools]]
deps = ["InteractiveUtils", "MacroTools", "Test"]
git-tree-sha1 = "c67e7515a11f726f44083e74f218d134396d6510"
uuid = "7869d1d1-7146-5819-86e3-90919afe41df"
version = "0.4.2"

[[IfElse]]
git-tree-sha1 = "28e837ff3e7a6c3cdb252ce49fb412c8eb3caeef"
uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
version = "0.1.0"

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

[[JLLWrappers]]
git-tree-sha1 = "c70593677bbf2c3ccab4f7500d0f4dacfff7b75c"
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
version = "1.1.3"

[[JpegTurbo_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "9aff0587d9603ea0de2c6f6300d9f9492bbefbd3"
uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
version = "2.0.1+3"

[[Juno]]
deps = ["Base64", "Logging", "Media", "Profile"]
git-tree-sha1 = "07cb43290a840908a771552911a6274bc6c072c7"
uuid = "e5e0dc1b-0480-54bc-9374-aad01c23163d"
version = "0.8.4"

[[LLVM]]
deps = ["CEnum", "Libdl", "Printf", "Unicode"]
git-tree-sha1 = "000a737732aa4eb996414c4685368f6a74b41d14"
uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
version = "3.4.0"

[[LZO_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "f128cd6cd05ffd6d3df0523ed99b90ff6f9b349a"
uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
version = "2.10.0+3"

[[LaTeXStrings]]
git-tree-sha1 = "c7aebfecb1a60d59c0fe023a68ec947a208b1e6b"
uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
version = "1.2.0"

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

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

[[Libffi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "a2cd088a88c0d37eef7d209fd3d8712febce0d90"
uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
version = "3.2.1+4"

[[Libgcrypt_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll", "Pkg"]
git-tree-sha1 = "b391a18ab1170a2e568f9fb8d83bc7c780cb9999"
uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
version = "1.8.5+4"

[[Libgpg_error_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "ec7f2e8ad5c9fa99fc773376cdbc86d9a5a23cb7"
uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
version = "1.36.0+3"

[[Libiconv_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "8e924324b2e9275a51407a4e06deb3455b1e359f"
uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
version = "1.16.0+7"

[[Libmount_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "51ad0c01c94c1ce48d5cad629425035ad030bfd5"
uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
version = "2.34.0+3"

[[Libtiff_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Pkg", "Zlib_jll", "Zstd_jll"]
git-tree-sha1 = "291dd857901f94d683973cdf679984cdf73b56d0"
uuid = "89763e89-9b03-5906-acba-b20f662cd828"
version = "4.1.0+2"

[[Libuuid_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "f879ae9edbaa2c74c922e8b85bb83cc84ea1450b"
uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
version = "2.34.0+7"

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

[[LittleCMS_jll]]
deps = ["JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pkg"]
git-tree-sha1 = "e6ea89d915cdad8d264f7f9158c6664f879edcde"
uuid = "d3a379c0-f9a3-5b72-a4c0-6bf4d2e8af0f"
version = "2.9.0+0"

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

[[LoopVectorization]]
deps = ["ArrayInterface", "DocStringExtensions", "IfElse", "LinearAlgebra", "OffsetArrays", "SLEEFPirates", "UnPack", "VectorizationBase"]
git-tree-sha1 = "d31307fd2dc8baeee93c84ff8a8674730633a10a"
uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
version = "0.9.1"

[[MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "6a8a2a625ab0dea913aba95c11370589e0239ff0"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.6"

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

[[Media]]
deps = ["MacroTools", "Test"]
git-tree-sha1 = "75a54abd10709c01f1b86b84ec225d26e840ed58"
uuid = "e89f7d12-3494-54d1-8411-f7d8b9ae1f27"
version = "0.5.0"

[[Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "ed61674a0864832495ffe0a7e889c0da76b0f4c8"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "0.4.4"

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

[[MuladdMacro]]
git-tree-sha1 = "c6190f9a7fc5d9d5915ab29f2134421b12d24a68"
uuid = "46d2c3a1-f734-5fdb-9937-b9b9aeba4221"
version = "0.2.2"

[[NNlib]]
deps = ["Compat", "Libdl", "LinearAlgebra", "Pkg", "Requires", "Statistics"]
git-tree-sha1 = "1ae42464fea5258fd2ff49f1c4a40fc41cba3860"
uuid = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
version = "0.7.7"

[[NaNMath]]
git-tree-sha1 = "bfe47e760d60b82b66b61d2d44128b62e3a369fb"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "0.3.5"

[[OffsetArrays]]
deps = ["Adapt"]
git-tree-sha1 = "9db93b990af57b3a56dca38476832f60d58f777b"
uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
version = "1.4.0"

[[OpenJpeg_jll]]
deps = ["Libdl", "Libtiff_jll", "LittleCMS_jll", "Pkg", "libpng_jll"]
git-tree-sha1 = "e330ffff1c6a593fa44cc40c29900bee82026406"
uuid = "643b3616-a352-519d-856d-80112ee9badc"
version = "2.3.1+0"

[[OpenSpecFun_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "9db77584158d0ab52307f8c04f8e7c08ca76b5b3"
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
version = "0.5.3+4"

[[OrderedCollections]]
git-tree-sha1 = "cf59cfed2e2c12e8a2ff0a4f1e9b2cd8650da6db"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.3.2"

[[PCRE_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "1b556ad51dceefdbf30e86ffa8f528b73c7df2bb"
uuid = "2f80f16e-611a-54ab-bc61-aa92de5b98fc"
version = "8.42.0+4"

[[Pixman_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "6a20a83c1ae86416f0a5de605eaea08a552844a3"
uuid = "30392449-352a-5448-841d-b1acce4e97dc"
version = "0.40.0+0"

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

[[Poppler_jll]]
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "OpenJpeg_jll", "Pkg", "libpng_jll"]
git-tree-sha1 = "e11443687ac151ac6ef6699eb75f964bed8e1faa"
uuid = "9c32591e-4766-534b-9725-b71a8799265b"
version = "0.87.0+2"

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

[[Profile]]
deps = ["Printf"]
uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"

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

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

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

[[Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "e05c53ebc86933601d36212a93b39144a2733493"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.1.1"

[[Richardson]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "776e0fdd3da5ad52067b60310ea8f3150d794c2f"
uuid = "708f8203-808e-40c0-ba2d-98a6953ed40d"
version = "1.2.0"

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

[[SLEEFPirates]]
deps = ["IfElse", "Libdl", "VectorizationBase"]
git-tree-sha1 = "6ae40418987449f040abe6b517244ff5541171ff"
uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa"
version = "0.6.0"

[[Scratch]]
deps = ["Dates"]
git-tree-sha1 = "ad4b278adb62d185bbcb6864dc24959ab0627bf6"
uuid = "6c6a2e73-6563-6170-7368-637461726353"
version = "1.0.3"

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

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

[[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 = "7286f31f27e3335cba31c618ac344a35eceac060"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "1.1.0"

[[StaticArrays]]
deps = ["LinearAlgebra", "Random", "Statistics"]
git-tree-sha1 = "794e88df12426adc7eb3370b4ec3aee12f8d6911"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "1.0.0"

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

[[StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics"]
git-tree-sha1 = "7bab7d4eb46b225b35179632852b595a3162cb61"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.33.2"

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

[[TikzPictures]]
deps = ["LaTeXStrings", "Poppler_jll", "Requires"]
git-tree-sha1 = "e3d4f9b40b5a8a2a1b198f1fc1bfeb5ac20c2de3"
uuid = "37f6aa50-8035-52d0-81c2-5a1d08754b2d"
version = "3.3.1"

[[TimerOutputs]]
deps = ["Printf"]
git-tree-sha1 = "3318281dd4121ecf9713ce1383b9ace7d7476fdd"
uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
version = "0.5.7"

[[TranscodingStreams]]
deps = ["Random", "Test"]
git-tree-sha1 = "7c53c35547de1c5b9d46a4797cf6d8253807108c"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.9.5"

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

[[UnPack]]
git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
version = "1.0.2"

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

[[VectorizationBase]]
deps = ["ArrayInterface", "Hwloc", "IfElse", "Libdl", "LinearAlgebra"]
git-tree-sha1 = "5ddf871e7403d59efb0958e4db2561e008bd4402"
uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
version = "0.13.6"

[[XML2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "be0db24f70aae7e2b89f2f3092e93b8606d659a6"
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
version = "2.9.10+3"

[[XSLT_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "2b3eac39df218762d2d005702d601cd44c997497"
uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
version = "1.1.33+4"

[[Xorg_libX11_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.6.9+4"

[[Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.9+4"

[[Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.3+4"

[[Xorg_libXext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3"
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
version = "1.3.4+4"

[[Xorg_libXrender_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96"
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
version = "0.9.10+4"

[[Xorg_libpthread_stubs_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb"
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
version = "0.1.0+3"

[[Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.13.0+3"

[[Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.4.0+3"

[[ZipFile]]
deps = ["Libdl", "Printf", "Zlib_jll"]
git-tree-sha1 = "c3a5637e27e914a7a445b8d0ad063d701931e9f7"
uuid = "a5390f91-8eb1-5f08-bee0-b1d1ffed6cea"
version = "0.9.3"

[[Zlib_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "320228915c8debb12cb434c59057290f0834dbf6"
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
version = "1.2.11+18"

[[Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "6f1abcb0c44f184690912aa4b0ba861dd64f11b9"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.4.5+2"

[[Zygote]]
deps = ["AbstractFFTs", "ArrayLayouts", "ChainRules", "DiffRules", "Distributed", "FillArrays", "ForwardDiff", "IRTools", "InteractiveUtils", "LinearAlgebra", "LoopVectorization", "MacroTools", "NNlib", "NaNMath", "Random", "Requires", "SpecialFunctions", "Statistics", "ZygoteRules"]
git-tree-sha1 = "17f2429f9025a2182e4657ee0769b0958591972a"
uuid = "e88e6eb3-aa80-5325-afca-941959d7151f"
version = "0.5.14"

[[ZygoteRules]]
deps = ["MacroTools"]
git-tree-sha1 = "b3b4882cc9accf6731a08cc39543fbc6b669dca8"
uuid = "700de1a5-db45-46bc-99cf-38207098b444"
version = "0.2.0"

[[libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "6abbc424248097d69c0c87ba50fcb0753f93e0ee"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.37+6"