--- a/test/Manifest.toml	Thu Sep 05 23:16:39 2024 +0200
+++ b/test/Manifest.toml	Sat Sep 07 12:11:53 2024 -0700
@@ -2,12 +2,52 @@
 
 julia_version = "1.10.5"
 manifest_format = "2.0"
-project_hash = "9dddd5385164ee197d1b3f22302bc95701c1f5e5"
+project_hash = "a40fe5f57b1a69f9d0a557182fbe7828d8dd9497"
+
+[[deps.Adapt]]
+deps = ["LinearAlgebra", "Requires"]
+git-tree-sha1 = "6a55b747d1812e699320963ffde36f1ebdda4099"
+uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
+version = "4.0.4"
+weakdeps = ["StaticArrays"]
+
+    [deps.Adapt.extensions]
+    AdaptStaticArraysExt = "StaticArrays"
 
 [[deps.ArgTools]]
 uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
 version = "1.1.1"
 
+[[deps.ArrayInterface]]
+deps = ["Adapt", "LinearAlgebra"]
+git-tree-sha1 = "3640d077b6dafd64ceb8fd5c1ec76f7ca53bcf76"
+uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
+version = "7.16.0"
+
+    [deps.ArrayInterface.extensions]
+    ArrayInterfaceBandedMatricesExt = "BandedMatrices"
+    ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices"
+    ArrayInterfaceCUDAExt = "CUDA"
+    ArrayInterfaceCUDSSExt = "CUDSS"
+    ArrayInterfaceChainRulesExt = "ChainRules"
+    ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore"
+    ArrayInterfaceReverseDiffExt = "ReverseDiff"
+    ArrayInterfaceSparseArraysExt = "SparseArrays"
+    ArrayInterfaceStaticArraysCoreExt = "StaticArraysCore"
+    ArrayInterfaceTrackerExt = "Tracker"
+
+    [deps.ArrayInterface.weakdeps]
+    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
+    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
+    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
+    CUDSS = "45b445bb-4962-46a0-9369-b4df9d0f772e"
+    ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
+    GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+    StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+
 [[deps.Artifacts]]
 uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
 
@@ -20,6 +60,21 @@
 uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
 version = "1.5.0"
 
+[[deps.CommonWorldInvalidations]]
+git-tree-sha1 = "ae52d1c52048455e85a387fbee9be553ec2b68d0"
+uuid = "f70d9fcc-98c5-4d4a-abd7-e4cdeebd8ca8"
+version = "1.0.0"
+
+[[deps.Compat]]
+deps = ["TOML", "UUIDs"]
+git-tree-sha1 = "8ae8d32e09f0dcf42a36b90d4e17f5dd2e4c4215"
+uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
+version = "4.16.0"
+weakdeps = ["Dates", "LinearAlgebra"]
+
+    [deps.Compat.extensions]
+    CompatLinearAlgebraExt = "LinearAlgebra"
+
 [[deps.CompilerSupportLibraries_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
@@ -40,6 +95,23 @@
 uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
 version = "1.15.1"
 
+[[deps.Diffinitive]]
+deps = ["StaticArrays", "TOML", "TiledIteration"]
+path = ".."
+uuid = "5a373a26-915f-4769-bcab-bf03835de17b"
+version = "0.1.1"
+
+    [deps.Diffinitive.extensions]
+    DiffinitiveMakieExt = "Makie"
+    DiffinitiveSparseArrayKitExt = ["SparseArrayKit", "Tokens"]
+    DiffinitiveSparseArraysExt = ["SparseArrays", "Tokens"]
+
+    [deps.Diffinitive.weakdeps]
+    Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
+    SparseArrayKit = "a9a3c162-d163-4c15-8926-b8794fbefed2"
+    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+    Tokens = "040c2ec2-8d69-4aca-bf03-7d3a7092f2f6"
+
 [[deps.Distributed]]
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
@@ -63,6 +135,11 @@
 uuid = "c27321d9-0574-5035-807b-f59d2c89b15c"
 version = "1.3.1"
 
+[[deps.IfElse]]
+git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
+uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
+version = "0.1.1"
+
 [[deps.InteractiveUtils]]
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
@@ -160,6 +237,15 @@
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
 version = "1.2.0"
 
+[[deps.OffsetArrays]]
+git-tree-sha1 = "1a27764e945a152f7ca7efa04de513d473e9542e"
+uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
+version = "1.14.1"
+weakdeps = ["Adapt"]
+
+    [deps.OffsetArrays.extensions]
+    OffsetArraysAdaptExt = "Adapt"
+
 [[deps.OpenBLAS_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
 uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
@@ -268,6 +354,23 @@
     [deps.SpecialFunctions.weakdeps]
     ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
 
+[[deps.Static]]
+deps = ["CommonWorldInvalidations", "IfElse", "PrecompileTools"]
+git-tree-sha1 = "87d51a3ee9a4b0d2fe054bdd3fc2436258db2603"
+uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
+version = "1.1.1"
+
+[[deps.StaticArrayInterface]]
+deps = ["ArrayInterface", "Compat", "IfElse", "LinearAlgebra", "PrecompileTools", "Static"]
+git-tree-sha1 = "96381d50f1ce85f2663584c8e886a6ca97e60554"
+uuid = "0d7ed370-da01-4f52-bd93-41d350b8b718"
+version = "1.8.0"
+weakdeps = ["OffsetArrays", "StaticArrays"]
+
+    [deps.StaticArrayInterface.extensions]
+    StaticArrayInterfaceOffsetArraysExt = "OffsetArrays"
+    StaticArrayInterfaceStaticArraysExt = "StaticArrays"
+
 [[deps.StaticArrays]]
 deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"]
 git-tree-sha1 = "eeafab08ae20c62c44c8399ccb9354a04b80db50"
@@ -317,9 +420,15 @@
 uuid = "98d24dd4-01ad-11ea-1b02-c9a08f80db04"
 version = "3.0.0"
 
+[[deps.TiledIteration]]
+deps = ["OffsetArrays", "StaticArrayInterface"]
+git-tree-sha1 = "1176cc31e867217b06928e2f140c90bd1bc88283"
+uuid = "06e1c1a7-607b-532d-9fad-de7d9aa2abac"
+version = "0.5.0"
+
 [[deps.Tokens]]
 deps = ["SparseArrayKit", "SparseArrays"]
-git-tree-sha1 = "719b0bdaa0d28fea79796f586b67e576d9ca0c26"
+git-tree-sha1 = "c4f40125383ce3bfcfcd49a1b206080b7afd9a34"
 uuid = "040c2ec2-8d69-4aca-bf03-7d3a7092f2f6"
 version = "0.1.1"